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Finding the Fourth Proportional to 659.86, 989.66 and 416.86

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Solution

The fourth proportional to 659.86, 989.66 and 416.86 is: 625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.86 : 989.66 = 416.86 : x
  2. Step 2: Convert to fraction form
    659.86/989.66 = 416.86/x
  3. Step 3: Cross multiply
    659.86x = 989.66 × 416.86
  4. Step 4: Simplify right side
    659.86x = 412,547.58
  5. Step 5: Solve for x
    x = 412,547.58/659.86
  6. Step 6: Final answer
    x = 625.20

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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.