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Finding the Fourth Proportional to 1,155.52, 1,731.32 and 569.73

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Solution

The fourth proportional to 1,155.52, 1,731.32 and 569.73 is: 853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.52 : 1,731.32 = 569.73 : x
  2. Step 2: Convert to fraction form
    1,155.52/1,731.32 = 569.73/x
  3. Step 3: Cross multiply
    1,155.52x = 1,731.32 × 569.73
  4. Step 4: Simplify right side
    1,155.52x = 986,393.93
  5. Step 5: Solve for x
    x = 986,393.93/1,155.52
  6. Step 6: Final answer
    x = 853.64

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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.