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Finding the Fourth Proportional to 1,051.71, 1,451.09 and 702.47

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Solution

The fourth proportional to 1,051.71, 1,451.09 and 702.47 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.71 : 1,451.09 = 702.47 : x
  2. Step 2: Convert to fraction form
    1,051.71/1,451.09 = 702.47/x
  3. Step 3: Cross multiply
    1,051.71x = 1,451.09 × 702.47
  4. Step 4: Simplify right side
    1,051.71x = 1,019,347.19
  5. Step 5: Solve for x
    x = 1,019,347.19/1,051.71
  6. Step 6: Final answer
    x = 969.23

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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.