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Finding the Fourth Proportional to 815.84, 1,125.04 and 521.04

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Solution

The fourth proportional to 815.84, 1,125.04 and 521.04 is: 718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.84 : 1,125.04 = 521.04 : x
  2. Step 2: Convert to fraction form
    815.84/1,125.04 = 521.04/x
  3. Step 3: Cross multiply
    815.84x = 1,125.04 × 521.04
  4. Step 4: Simplify right side
    815.84x = 586,190.84
  5. Step 5: Solve for x
    x = 586,190.84/815.84
  6. Step 6: Final answer
    x = 718.51

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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.