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Finding the Fourth Proportional to 1,018.47, 1,530.15 and 653.97

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Solution

The fourth proportional to 1,018.47, 1,530.15 and 653.97 is: 982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.47 : 1,530.15 = 653.97 : x
  2. Step 2: Convert to fraction form
    1,018.47/1,530.15 = 653.97/x
  3. Step 3: Cross multiply
    1,018.47x = 1,530.15 × 653.97
  4. Step 4: Simplify right side
    1,018.47x = 1,000,666.33
  5. Step 5: Solve for x
    x = 1,000,666.33/1,018.47
  6. Step 6: Final answer
    x = 982.52

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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.