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Finding the Fourth Proportional to 1,002.46, 1,382.83 and 707.22

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Solution

The fourth proportional to 1,002.46, 1,382.83 and 707.22 is: 975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.46 : 1,382.83 = 707.22 : x
  2. Step 2: Convert to fraction form
    1,002.46/1,382.83 = 707.22/x
  3. Step 3: Cross multiply
    1,002.46x = 1,382.83 × 707.22
  4. Step 4: Simplify right side
    1,002.46x = 977,965.03
  5. Step 5: Solve for x
    x = 977,965.03/1,002.46
  6. Step 6: Final answer
    x = 975.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.