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Finding the Fourth Proportional to 942.68, 1,301.02 and 528.76

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Solution

The fourth proportional to 942.68, 1,301.02 and 528.76 is: 729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.68 : 1,301.02 = 528.76 : x
  2. Step 2: Convert to fraction form
    942.68/1,301.02 = 528.76/x
  3. Step 3: Cross multiply
    942.68x = 1,301.02 × 528.76
  4. Step 4: Simplify right side
    942.68x = 687,927.34
  5. Step 5: Solve for x
    x = 687,927.34/942.68
  6. Step 6: Final answer
    x = 729.76

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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.