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Finding the Fourth Proportional to 1,154.38, 1,730.12 and 577.42

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Solution

The fourth proportional to 1,154.38, 1,730.12 and 577.42 is: 865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.38 : 1,730.12 = 577.42 : x
  2. Step 2: Convert to fraction form
    1,154.38/1,730.12 = 577.42/x
  3. Step 3: Cross multiply
    1,154.38x = 1,730.12 × 577.42
  4. Step 4: Simplify right side
    1,154.38x = 999,005.89
  5. Step 5: Solve for x
    x = 999,005.89/1,154.38
  6. Step 6: Final answer
    x = 865.40

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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.