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Finding the Fourth Proportional to 952.48, 1,430.30 and 589.57

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Solution

The fourth proportional to 952.48, 1,430.30 and 589.57 is: 885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.48 : 1,430.30 = 589.57 : x
  2. Step 2: Convert to fraction form
    952.48/1,430.30 = 589.57/x
  3. Step 3: Cross multiply
    952.48x = 1,430.30 × 589.57
  4. Step 4: Simplify right side
    952.48x = 843,261.97
  5. Step 5: Solve for x
    x = 843,261.97/952.48
  6. Step 6: Final answer
    x = 885.33

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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.