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Finding the Fourth Proportional to 931.87, 1,285.88 and 558.87

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Solution

The fourth proportional to 931.87, 1,285.88 and 558.87 is: 771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.87 : 1,285.88 = 558.87 : x
  2. Step 2: Convert to fraction form
    931.87/1,285.88 = 558.87/x
  3. Step 3: Cross multiply
    931.87x = 1,285.88 × 558.87
  4. Step 4: Simplify right side
    931.87x = 718,639.55
  5. Step 5: Solve for x
    x = 718,639.55/931.87
  6. Step 6: Final answer
    x = 771.18

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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.