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Finding the Fourth Proportional to 718.44, 1,071.82 and 709.23

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Solution

The fourth proportional to 718.44, 1,071.82 and 709.23 is: 1,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.44 : 1,071.82 = 709.23 : x
  2. Step 2: Convert to fraction form
    718.44/1,071.82 = 709.23/x
  3. Step 3: Cross multiply
    718.44x = 1,071.82 × 709.23
  4. Step 4: Simplify right side
    718.44x = 760,166.90
  5. Step 5: Solve for x
    x = 760,166.90/718.44
  6. Step 6: Final answer
    x = 1,058.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.