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Finding the Fourth Proportional to 753.01, 1,129.05 and 492.69

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Solution

The fourth proportional to 753.01, 1,129.05 and 492.69 is: 738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.01 : 1,129.05 = 492.69 : x
  2. Step 2: Convert to fraction form
    753.01/1,129.05 = 492.69/x
  3. Step 3: Cross multiply
    753.01x = 1,129.05 × 492.69
  4. Step 4: Simplify right side
    753.01x = 556,271.64
  5. Step 5: Solve for x
    x = 556,271.64/753.01
  6. Step 6: Final answer
    x = 738.73

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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.