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Finding the Fourth Proportional to 1,149.96, 1,587.21 and 652.91

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Solution

The fourth proportional to 1,149.96, 1,587.21 and 652.91 is: 901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.96 : 1,587.21 = 652.91 : x
  2. Step 2: Convert to fraction form
    1,149.96/1,587.21 = 652.91/x
  3. Step 3: Cross multiply
    1,149.96x = 1,587.21 × 652.91
  4. Step 4: Simplify right side
    1,149.96x = 1,036,309.25
  5. Step 5: Solve for x
    x = 1,036,309.25/1,149.96
  6. Step 6: Final answer
    x = 901.17

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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.