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Finding the Fourth Proportional to 659.32, 984.50 and 590.06

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Solution

The fourth proportional to 659.32, 984.50 and 590.06 is: 881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.32 : 984.50 = 590.06 : x
  2. Step 2: Convert to fraction form
    659.32/984.50 = 590.06/x
  3. Step 3: Cross multiply
    659.32x = 984.50 × 590.06
  4. Step 4: Simplify right side
    659.32x = 580,914.07
  5. Step 5: Solve for x
    x = 580,914.07/659.32
  6. Step 6: Final answer
    x = 881.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.