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Finding the Fourth Proportional to 659.32, 910.14 and 501.97

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Solution

The fourth proportional to 659.32, 910.14 and 501.97 is: 692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.32 : 910.14 = 501.97 : x
  2. Step 2: Convert to fraction form
    659.32/910.14 = 501.97/x
  3. Step 3: Cross multiply
    659.32x = 910.14 × 501.97
  4. Step 4: Simplify right side
    659.32x = 456,862.98
  5. Step 5: Solve for x
    x = 456,862.98/659.32
  6. Step 6: Final answer
    x = 692.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.