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Finding the Fourth Proportional to 1,312.55, 1,965.98 and 618.17

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Solution

The fourth proportional to 1,312.55, 1,965.98 and 618.17 is: 925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.55 : 1,965.98 = 618.17 : x
  2. Step 2: Convert to fraction form
    1,312.55/1,965.98 = 618.17/x
  3. Step 3: Cross multiply
    1,312.55x = 1,965.98 × 618.17
  4. Step 4: Simplify right side
    1,312.55x = 1,215,309.86
  5. Step 5: Solve for x
    x = 1,215,309.86/1,312.55
  6. Step 6: Final answer
    x = 925.92

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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.