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Finding the Fourth Proportional to 1,154.87, 1,731.51 and 569.16

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Solution

The fourth proportional to 1,154.87, 1,731.51 and 569.16 is: 853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.87 : 1,731.51 = 569.16 : x
  2. Step 2: Convert to fraction form
    1,154.87/1,731.51 = 569.16/x
  3. Step 3: Cross multiply
    1,154.87x = 1,731.51 × 569.16
  4. Step 4: Simplify right side
    1,154.87x = 985,506.23
  5. Step 5: Solve for x
    x = 985,506.23/1,154.87
  6. Step 6: Final answer
    x = 853.35

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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.