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Finding the Fourth Proportional to 753.13, 1,130.20 and 479.42

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Solution

The fourth proportional to 753.13, 1,130.20 and 479.42 is: 719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.13 : 1,130.20 = 479.42 : x
  2. Step 2: Convert to fraction form
    753.13/1,130.20 = 479.42/x
  3. Step 3: Cross multiply
    753.13x = 1,130.20 × 479.42
  4. Step 4: Simplify right side
    753.13x = 541,840.57
  5. Step 5: Solve for x
    x = 541,840.57/753.13
  6. Step 6: Final answer
    x = 719.45

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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.