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Finding the Fourth Proportional to 934.57, 1,402.53 and 877.19

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Solution

The fourth proportional to 934.57, 1,402.53 and 877.19 is: 1,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.57 : 1,402.53 = 877.19 : x
  2. Step 2: Convert to fraction form
    934.57/1,402.53 = 877.19/x
  3. Step 3: Cross multiply
    934.57x = 1,402.53 × 877.19
  4. Step 4: Simplify right side
    934.57x = 1,230,280.90
  5. Step 5: Solve for x
    x = 1,230,280.90/934.57
  6. Step 6: Final answer
    x = 1,316.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.