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Finding the Fourth Proportional to 1,001.64, 1,502.58 and 488.52

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Solution

The fourth proportional to 1,001.64, 1,502.58 and 488.52 is: 732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.64 : 1,502.58 = 488.52 : x
  2. Step 2: Convert to fraction form
    1,001.64/1,502.58 = 488.52/x
  3. Step 3: Cross multiply
    1,001.64x = 1,502.58 × 488.52
  4. Step 4: Simplify right side
    1,001.64x = 734,040.38
  5. Step 5: Solve for x
    x = 734,040.38/1,001.64
  6. Step 6: Final answer
    x = 732.84

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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.