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Finding the Fourth Proportional to 749.56, 1,123.20 and 507.64

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Solution

The fourth proportional to 749.56, 1,123.20 and 507.64 is: 760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.56 : 1,123.20 = 507.64 : x
  2. Step 2: Convert to fraction form
    749.56/1,123.20 = 507.64/x
  3. Step 3: Cross multiply
    749.56x = 1,123.20 × 507.64
  4. Step 4: Simplify right side
    749.56x = 570,181.25
  5. Step 5: Solve for x
    x = 570,181.25/749.56
  6. Step 6: Final answer
    x = 760.69

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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.