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Finding the Fourth Proportional to 1,064.66, 1,587.41 and 1,024.05

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Solution

The fourth proportional to 1,064.66, 1,587.41 and 1,024.05 is: 1,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.66 : 1,587.41 = 1,024.05 : x
  2. Step 2: Convert to fraction form
    1,064.66/1,587.41 = 1,024.05/x
  3. Step 3: Cross multiply
    1,064.66x = 1,587.41 × 1,024.05
  4. Step 4: Simplify right side
    1,064.66x = 1,625,589.77
  5. Step 5: Solve for x
    x = 1,625,589.77/1,064.66
  6. Step 6: Final answer
    x = 1,526.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.