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Finding the Fourth Proportional to 1,156.19, 1,732.55 and 539.18

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Solution

The fourth proportional to 1,156.19, 1,732.55 and 539.18 is: 807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.19 : 1,732.55 = 539.18 : x
  2. Step 2: Convert to fraction form
    1,156.19/1,732.55 = 539.18/x
  3. Step 3: Cross multiply
    1,156.19x = 1,732.55 × 539.18
  4. Step 4: Simplify right side
    1,156.19x = 934,144.95
  5. Step 5: Solve for x
    x = 934,144.95/1,156.19
  6. Step 6: Final answer
    x = 807.95

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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.