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Finding the Fourth Proportional to 1,215.50, 1,677.36 and 691.46

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Solution

The fourth proportional to 1,215.50, 1,677.36 and 691.46 is: 954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.50 : 1,677.36 = 691.46 : x
  2. Step 2: Convert to fraction form
    1,215.50/1,677.36 = 691.46/x
  3. Step 3: Cross multiply
    1,215.50x = 1,677.36 × 691.46
  4. Step 4: Simplify right side
    1,215.50x = 1,159,827.35
  5. Step 5: Solve for x
    x = 1,159,827.35/1,215.50
  6. Step 6: Final answer
    x = 954.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.