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Finding the Fourth Proportional to 749.72, 1,034.28 and 528.68

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Solution

The fourth proportional to 749.72, 1,034.28 and 528.68 is: 729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.72 : 1,034.28 = 528.68 : x
  2. Step 2: Convert to fraction form
    749.72/1,034.28 = 528.68/x
  3. Step 3: Cross multiply
    749.72x = 1,034.28 × 528.68
  4. Step 4: Simplify right side
    749.72x = 546,803.15
  5. Step 5: Solve for x
    x = 546,803.15/749.72
  6. Step 6: Final answer
    x = 729.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.