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Finding the Fourth Proportional to 1,149.48, 1,586.27 and 652.16

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Solution

The fourth proportional to 1,149.48, 1,586.27 and 652.16 is: 899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.48 : 1,586.27 = 652.16 : x
  2. Step 2: Convert to fraction form
    1,149.48/1,586.27 = 652.16/x
  3. Step 3: Cross multiply
    1,149.48x = 1,586.27 × 652.16
  4. Step 4: Simplify right side
    1,149.48x = 1,034,501.84
  5. Step 5: Solve for x
    x = 1,034,501.84/1,149.48
  6. Step 6: Final answer
    x = 899.97

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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.