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Finding the Fourth Proportional to 837.52, 1,158.36 and 750.16

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Solution

The fourth proportional to 837.52, 1,158.36 and 750.16 is: 1,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,158.36 = 750.16 : x
  2. Step 2: Convert to fraction form
    837.52/1,158.36 = 750.16/x
  3. Step 3: Cross multiply
    837.52x = 1,158.36 × 750.16
  4. Step 4: Simplify right side
    837.52x = 868,955.34
  5. Step 5: Solve for x
    x = 868,955.34/837.52
  6. Step 6: Final answer
    x = 1,037.53

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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.