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Finding the Fourth Proportional to 719.84, 1,078.16 and 502.88

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Solution

The fourth proportional to 719.84, 1,078.16 and 502.88 is: 753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.84 : 1,078.16 = 502.88 : x
  2. Step 2: Convert to fraction form
    719.84/1,078.16 = 502.88/x
  3. Step 3: Cross multiply
    719.84x = 1,078.16 × 502.88
  4. Step 4: Simplify right side
    719.84x = 542,185.10
  5. Step 5: Solve for x
    x = 542,185.10/719.84
  6. Step 6: Final answer
    x = 753.20

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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.