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Finding the Fourth Proportional to 1,448.34, 1,998.71 and 785.20

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Solution

The fourth proportional to 1,448.34, 1,998.71 and 785.20 is: 1,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.34 : 1,998.71 = 785.20 : x
  2. Step 2: Convert to fraction form
    1,448.34/1,998.71 = 785.20/x
  3. Step 3: Cross multiply
    1,448.34x = 1,998.71 × 785.20
  4. Step 4: Simplify right side
    1,448.34x = 1,569,387.09
  5. Step 5: Solve for x
    x = 1,569,387.09/1,448.34
  6. Step 6: Final answer
    x = 1,083.58

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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.