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Finding the Fourth Proportional to 934.60, 1,403.76 and 588.16

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Solution

The fourth proportional to 934.60, 1,403.76 and 588.16 is: 883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.60 : 1,403.76 = 588.16 : x
  2. Step 2: Convert to fraction form
    934.60/1,403.76 = 588.16/x
  3. Step 3: Cross multiply
    934.60x = 1,403.76 × 588.16
  4. Step 4: Simplify right side
    934.60x = 825,635.48
  5. Step 5: Solve for x
    x = 825,635.48/934.60
  6. Step 6: Final answer
    x = 883.41

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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.