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Finding the Fourth Proportional to 1,015.79, 1,521.56 and 648.71

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Solution

The fourth proportional to 1,015.79, 1,521.56 and 648.71 is: 971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.79 : 1,521.56 = 648.71 : x
  2. Step 2: Convert to fraction form
    1,015.79/1,521.56 = 648.71/x
  3. Step 3: Cross multiply
    1,015.79x = 1,521.56 × 648.71
  4. Step 4: Simplify right side
    1,015.79x = 987,045.76
  5. Step 5: Solve for x
    x = 987,045.76/1,015.79
  6. Step 6: Final answer
    x = 971.70

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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.