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Finding the Fourth Proportional to 1,149.24, 1,585.72 and 651.76

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Solution

The fourth proportional to 1,149.24, 1,585.72 and 651.76 is: 899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.24 : 1,585.72 = 651.76 : x
  2. Step 2: Convert to fraction form
    1,149.24/1,585.72 = 651.76/x
  3. Step 3: Cross multiply
    1,149.24x = 1,585.72 × 651.76
  4. Step 4: Simplify right side
    1,149.24x = 1,033,508.87
  5. Step 5: Solve for x
    x = 1,033,508.87/1,149.24
  6. Step 6: Final answer
    x = 899.30

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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.