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Finding the Fourth Proportional to 657.71, 907.30 and 610.80

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Solution

The fourth proportional to 657.71, 907.30 and 610.80 is: 842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.71 : 907.30 = 610.80 : x
  2. Step 2: Convert to fraction form
    657.71/907.30 = 610.80/x
  3. Step 3: Cross multiply
    657.71x = 907.30 × 610.80
  4. Step 4: Simplify right side
    657.71x = 554,178.84
  5. Step 5: Solve for x
    x = 554,178.84/657.71
  6. Step 6: Final answer
    x = 842.59

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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.