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Finding the Fourth Proportional to 865.64, 1,298.66 and 500.53

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Solution

The fourth proportional to 865.64, 1,298.66 and 500.53 is: 750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.64 : 1,298.66 = 500.53 : x
  2. Step 2: Convert to fraction form
    865.64/1,298.66 = 500.53/x
  3. Step 3: Cross multiply
    865.64x = 1,298.66 × 500.53
  4. Step 4: Simplify right side
    865.64x = 650,018.29
  5. Step 5: Solve for x
    x = 650,018.29/865.64
  6. Step 6: Final answer
    x = 750.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.