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Finding the Fourth Proportional to 1,377.28, 2,065.95 and 646.66

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Solution

The fourth proportional to 1,377.28, 2,065.95 and 646.66 is: 970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.28 : 2,065.95 = 646.66 : x
  2. Step 2: Convert to fraction form
    1,377.28/2,065.95 = 646.66/x
  3. Step 3: Cross multiply
    1,377.28x = 2,065.95 × 646.66
  4. Step 4: Simplify right side
    1,377.28x = 1,335,967.23
  5. Step 5: Solve for x
    x = 1,335,967.23/1,377.28
  6. Step 6: Final answer
    x = 970.00

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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.