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Finding the Fourth Proportional to 1,013.53, 1,398.64 and 571.40

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Solution

The fourth proportional to 1,013.53, 1,398.64 and 571.40 is: 788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.53 : 1,398.64 = 571.40 : x
  2. Step 2: Convert to fraction form
    1,013.53/1,398.64 = 571.40/x
  3. Step 3: Cross multiply
    1,013.53x = 1,398.64 × 571.40
  4. Step 4: Simplify right side
    1,013.53x = 799,183.54
  5. Step 5: Solve for x
    x = 799,183.54/1,013.53
  6. Step 6: Final answer
    x = 788.52

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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.