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Finding the Fourth Proportional to 1,001.48, 1,382.08 and 706.84

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Solution

The fourth proportional to 1,001.48, 1,382.08 and 706.84 is: 975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.48 : 1,382.08 = 706.84 : x
  2. Step 2: Convert to fraction form
    1,001.48/1,382.08 = 706.84/x
  3. Step 3: Cross multiply
    1,001.48x = 1,382.08 × 706.84
  4. Step 4: Simplify right side
    1,001.48x = 976,909.43
  5. Step 5: Solve for x
    x = 976,909.43/1,001.48
  6. Step 6: Final answer
    x = 975.47

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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.