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Finding the Fourth Proportional to 952.42, 1,430.18 and 589.52

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Solution

The fourth proportional to 952.42, 1,430.18 and 589.52 is: 885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.42 : 1,430.18 = 589.52 : x
  2. Step 2: Convert to fraction form
    952.42/1,430.18 = 589.52/x
  3. Step 3: Cross multiply
    952.42x = 1,430.18 × 589.52
  4. Step 4: Simplify right side
    952.42x = 843,119.71
  5. Step 5: Solve for x
    x = 843,119.71/952.42
  6. Step 6: Final answer
    x = 885.24

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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.