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Finding the Fourth Proportional to 659.33, 909.63 and 507.96

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Solution

The fourth proportional to 659.33, 909.63 and 507.96 is: 700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.33 : 909.63 = 507.96 : x
  2. Step 2: Convert to fraction form
    659.33/909.63 = 507.96/x
  3. Step 3: Cross multiply
    659.33x = 909.63 × 507.96
  4. Step 4: Simplify right side
    659.33x = 462,055.65
  5. Step 5: Solve for x
    x = 462,055.65/659.33
  6. Step 6: Final answer
    x = 700.80

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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.