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Finding the Fourth Proportional to 719.01, 1,077.30 and 502.74

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Solution

The fourth proportional to 719.01, 1,077.30 and 502.74 is: 753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.01 : 1,077.30 = 502.74 : x
  2. Step 2: Convert to fraction form
    719.01/1,077.30 = 502.74/x
  3. Step 3: Cross multiply
    719.01x = 1,077.30 × 502.74
  4. Step 4: Simplify right side
    719.01x = 541,601.80
  5. Step 5: Solve for x
    x = 541,601.80/719.01
  6. Step 6: Final answer
    x = 753.26

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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.