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Finding the Fourth Proportional to 1,165.41, 1,746.95 and 515.61

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Solution

The fourth proportional to 1,165.41, 1,746.95 and 515.61 is: 772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.41 : 1,746.95 = 515.61 : x
  2. Step 2: Convert to fraction form
    1,165.41/1,746.95 = 515.61/x
  3. Step 3: Cross multiply
    1,165.41x = 1,746.95 × 515.61
  4. Step 4: Simplify right side
    1,165.41x = 900,742.31
  5. Step 5: Solve for x
    x = 900,742.31/1,165.41
  6. Step 6: Final answer
    x = 772.90

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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.