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Finding the Fourth Proportional to 1,132.69, 1,697.49 and 583.71

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Solution

The fourth proportional to 1,132.69, 1,697.49 and 583.71 is: 874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.69 : 1,697.49 = 583.71 : x
  2. Step 2: Convert to fraction form
    1,132.69/1,697.49 = 583.71/x
  3. Step 3: Cross multiply
    1,132.69x = 1,697.49 × 583.71
  4. Step 4: Simplify right side
    1,132.69x = 990,841.89
  5. Step 5: Solve for x
    x = 990,841.89/1,132.69
  6. Step 6: Final answer
    x = 874.77

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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.