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Finding the Fourth Proportional to 1,528.90, 2,293.76 and 748.87

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Solution

The fourth proportional to 1,528.90, 2,293.76 and 748.87 is: 1,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.90 : 2,293.76 = 748.87 : x
  2. Step 2: Convert to fraction form
    1,528.90/2,293.76 = 748.87/x
  3. Step 3: Cross multiply
    1,528.90x = 2,293.76 × 748.87
  4. Step 4: Simplify right side
    1,528.90x = 1,717,724.19
  5. Step 5: Solve for x
    x = 1,717,724.19/1,528.90
  6. Step 6: Final answer
    x = 1,123.51

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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.