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Finding the Fourth Proportional to 1,125.79, 1,688.10 and 532.18

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Solution

The fourth proportional to 1,125.79, 1,688.10 and 532.18 is: 797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.79 : 1,688.10 = 532.18 : x
  2. Step 2: Convert to fraction form
    1,125.79/1,688.10 = 532.18/x
  3. Step 3: Cross multiply
    1,125.79x = 1,688.10 × 532.18
  4. Step 4: Simplify right side
    1,125.79x = 898,373.06
  5. Step 5: Solve for x
    x = 898,373.06/1,125.79
  6. Step 6: Final answer
    x = 797.99

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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.