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Finding the Fourth Proportional to 952.52, 1,430.19 and 588.83

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Solution

The fourth proportional to 952.52, 1,430.19 and 588.83 is: 884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.52 : 1,430.19 = 588.83 : x
  2. Step 2: Convert to fraction form
    952.52/1,430.19 = 588.83/x
  3. Step 3: Cross multiply
    952.52x = 1,430.19 × 588.83
  4. Step 4: Simplify right side
    952.52x = 842,131.63
  5. Step 5: Solve for x
    x = 842,131.63/952.52
  6. Step 6: Final answer
    x = 884.11

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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.