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Finding the Fourth Proportional to 1,152.66, 1,729.50 and 604.71

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Solution

The fourth proportional to 1,152.66, 1,729.50 and 604.71 is: 907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.66 : 1,729.50 = 604.71 : x
  2. Step 2: Convert to fraction form
    1,152.66/1,729.50 = 604.71/x
  3. Step 3: Cross multiply
    1,152.66x = 1,729.50 × 604.71
  4. Step 4: Simplify right side
    1,152.66x = 1,045,854.70
  5. Step 5: Solve for x
    x = 1,045,854.70/1,152.66
  6. Step 6: Final answer
    x = 907.34

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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.