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Finding the Fourth Proportional to 1,275.34, 1,913.05 and 658.66

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Solution

The fourth proportional to 1,275.34, 1,913.05 and 658.66 is: 988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.34 : 1,913.05 = 658.66 : x
  2. Step 2: Convert to fraction form
    1,275.34/1,913.05 = 658.66/x
  3. Step 3: Cross multiply
    1,275.34x = 1,913.05 × 658.66
  4. Step 4: Simplify right side
    1,275.34x = 1,260,049.51
  5. Step 5: Solve for x
    x = 1,260,049.51/1,275.34
  6. Step 6: Final answer
    x = 988.01

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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.