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Finding the Fourth Proportional to 659.69, 910.47 and 502.07

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Solution

The fourth proportional to 659.69, 910.47 and 502.07 is: 692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.69 : 910.47 = 502.07 : x
  2. Step 2: Convert to fraction form
    659.69/910.47 = 502.07/x
  3. Step 3: Cross multiply
    659.69x = 910.47 × 502.07
  4. Step 4: Simplify right side
    659.69x = 457,115.12
  5. Step 5: Solve for x
    x = 457,115.12/659.69
  6. Step 6: Final answer
    x = 692.93

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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.