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Finding the Fourth Proportional to 710.40, 1,064.96 and 596.48

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Solution

The fourth proportional to 710.40, 1,064.96 and 596.48 is: 894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.40 : 1,064.96 = 596.48 : x
  2. Step 2: Convert to fraction form
    710.40/1,064.96 = 596.48/x
  3. Step 3: Cross multiply
    710.40x = 1,064.96 × 596.48
  4. Step 4: Simplify right side
    710.40x = 635,227.34
  5. Step 5: Solve for x
    x = 635,227.34/710.40
  6. Step 6: Final answer
    x = 894.18

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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.