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Finding the Fourth Proportional to 1,024.47, 1,538.33 and 913.77

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Solution

The fourth proportional to 1,024.47, 1,538.33 and 913.77 is: 1,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.47 : 1,538.33 = 913.77 : x
  2. Step 2: Convert to fraction form
    1,024.47/1,538.33 = 913.77/x
  3. Step 3: Cross multiply
    1,024.47x = 1,538.33 × 913.77
  4. Step 4: Simplify right side
    1,024.47x = 1,405,675.24
  5. Step 5: Solve for x
    x = 1,405,675.24/1,024.47
  6. Step 6: Final answer
    x = 1,372.10

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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.