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Finding the Fourth Proportional to 932.60, 1,400.76 and 586.16

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Solution

The fourth proportional to 932.60, 1,400.76 and 586.16 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.60 : 1,400.76 = 586.16 : x
  2. Step 2: Convert to fraction form
    932.60/1,400.76 = 586.16/x
  3. Step 3: Cross multiply
    932.60x = 1,400.76 × 586.16
  4. Step 4: Simplify right side
    932.60x = 821,069.48
  5. Step 5: Solve for x
    x = 821,069.48/932.60
  6. Step 6: Final answer
    x = 880.41

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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.