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Finding the Fourth Proportional to 1,387.85, 2,081.43 and 647.00

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Solution

The fourth proportional to 1,387.85, 2,081.43 and 647.00 is: 970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.85 : 2,081.43 = 647.00 : x
  2. Step 2: Convert to fraction form
    1,387.85/2,081.43 = 647.00/x
  3. Step 3: Cross multiply
    1,387.85x = 2,081.43 × 647.00
  4. Step 4: Simplify right side
    1,387.85x = 1,346,674.80
  5. Step 5: Solve for x
    x = 1,346,674.80/1,387.85
  6. Step 6: Final answer
    x = 970.34

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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.