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Finding the Fourth Proportional to 1,150.81, 1,587.94 and 653.47

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Solution

The fourth proportional to 1,150.81, 1,587.94 and 653.47 is: 901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.81 : 1,587.94 = 653.47 : x
  2. Step 2: Convert to fraction form
    1,150.81/1,587.94 = 653.47/x
  3. Step 3: Cross multiply
    1,150.81x = 1,587.94 × 653.47
  4. Step 4: Simplify right side
    1,150.81x = 1,037,665.55
  5. Step 5: Solve for x
    x = 1,037,665.55/1,150.81
  6. Step 6: Final answer
    x = 901.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.