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Finding the Fourth Proportional to 1,025.46, 1,534.55 and 750.87

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Solution

The fourth proportional to 1,025.46, 1,534.55 and 750.87 is: 1,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.46 : 1,534.55 = 750.87 : x
  2. Step 2: Convert to fraction form
    1,025.46/1,534.55 = 750.87/x
  3. Step 3: Cross multiply
    1,025.46x = 1,534.55 × 750.87
  4. Step 4: Simplify right side
    1,025.46x = 1,152,243.80
  5. Step 5: Solve for x
    x = 1,152,243.80/1,025.46
  6. Step 6: Final answer
    x = 1,123.64

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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.