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Finding the Fourth Proportional to 1,317.23, 1,817.12 and 785.74

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Solution

The fourth proportional to 1,317.23, 1,817.12 and 785.74 is: 1,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.23 : 1,817.12 = 785.74 : x
  2. Step 2: Convert to fraction form
    1,317.23/1,817.12 = 785.74/x
  3. Step 3: Cross multiply
    1,317.23x = 1,817.12 × 785.74
  4. Step 4: Simplify right side
    1,317.23x = 1,427,770.85
  5. Step 5: Solve for x
    x = 1,427,770.85/1,317.23
  6. Step 6: Final answer
    x = 1,083.92

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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.