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Finding the Fourth Proportional to 952.73, 1,315.14 and 659.00

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Solution

The fourth proportional to 952.73, 1,315.14 and 659.00 is: 909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.73 : 1,315.14 = 659.00 : x
  2. Step 2: Convert to fraction form
    952.73/1,315.14 = 659.00/x
  3. Step 3: Cross multiply
    952.73x = 1,315.14 × 659.00
  4. Step 4: Simplify right side
    952.73x = 866,678.08
  5. Step 5: Solve for x
    x = 866,678.08/952.73
  6. Step 6: Final answer
    x = 909.68

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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.