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Finding the Fourth Proportional to 1,152.57, 1,589.45 and 1,029.45

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Solution

The fourth proportional to 1,152.57, 1,589.45 and 1,029.45 is: 1,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.57 : 1,589.45 = 1,029.45 : x
  2. Step 2: Convert to fraction form
    1,152.57/1,589.45 = 1,029.45/x
  3. Step 3: Cross multiply
    1,152.57x = 1,589.45 × 1,029.45
  4. Step 4: Simplify right side
    1,152.57x = 1,636,254.16
  5. Step 5: Solve for x
    x = 1,636,254.16/1,152.57
  6. Step 6: Final answer
    x = 1,419.66

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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.