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Finding the Fourth Proportional to 1,156.17, 1,733.58 and 506.19

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Solution

The fourth proportional to 1,156.17, 1,733.58 and 506.19 is: 758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.17 : 1,733.58 = 506.19 : x
  2. Step 2: Convert to fraction form
    1,156.17/1,733.58 = 506.19/x
  3. Step 3: Cross multiply
    1,156.17x = 1,733.58 × 506.19
  4. Step 4: Simplify right side
    1,156.17x = 877,520.86
  5. Step 5: Solve for x
    x = 877,520.86/1,156.17
  6. Step 6: Final answer
    x = 758.99

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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.