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Finding the Fourth Proportional to 1,152.57, 1,729.08 and 632.30

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Solution

The fourth proportional to 1,152.57, 1,729.08 and 632.30 is: 948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.57 : 1,729.08 = 632.30 : x
  2. Step 2: Convert to fraction form
    1,152.57/1,729.08 = 632.30/x
  3. Step 3: Cross multiply
    1,152.57x = 1,729.08 × 632.30
  4. Step 4: Simplify right side
    1,152.57x = 1,093,288.64
  5. Step 5: Solve for x
    x = 1,093,288.64/1,152.57
  6. Step 6: Final answer
    x = 948.56

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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.