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Finding the Fourth Proportional to 1,377, 2,065.76 and 452.61

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Solution

The fourth proportional to 1,377, 2,065.76 and 452.61 is: 679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377 : 2,065.76 = 452.61 : x
  2. Step 2: Convert to fraction form
    1,377/2,065.76 = 452.61/x
  3. Step 3: Cross multiply
    1,377x = 2,065.76 × 452.61
  4. Step 4: Simplify right side
    1,377x = 934,981.37
  5. Step 5: Solve for x
    x = 934,981.37/1,377
  6. Step 6: Final answer
    x = 679.00

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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.