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Finding the Fourth Proportional to 1,374.75, 1,897.29 and 785.30

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Solution

The fourth proportional to 1,374.75, 1,897.29 and 785.30 is: 1,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.75 : 1,897.29 = 785.30 : x
  2. Step 2: Convert to fraction form
    1,374.75/1,897.29 = 785.30/x
  3. Step 3: Cross multiply
    1,374.75x = 1,897.29 × 785.30
  4. Step 4: Simplify right side
    1,374.75x = 1,489,932.35
  5. Step 5: Solve for x
    x = 1,489,932.35/1,374.75
  6. Step 6: Final answer
    x = 1,083.78

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.