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Finding the Fourth Proportional to 1,356.98, 2,036.68 and 708.17

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Solution

The fourth proportional to 1,356.98, 2,036.68 and 708.17 is: 1,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.98 : 2,036.68 = 708.17 : x
  2. Step 2: Convert to fraction form
    1,356.98/2,036.68 = 708.17/x
  3. Step 3: Cross multiply
    1,356.98x = 2,036.68 × 708.17
  4. Step 4: Simplify right side
    1,356.98x = 1,442,303.72
  5. Step 5: Solve for x
    x = 1,442,303.72/1,356.98
  6. Step 6: Final answer
    x = 1,062.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.