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Finding the Fourth Proportional to 954.60, 1,430.16 and 589.20

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Solution

The fourth proportional to 954.60, 1,430.16 and 589.20 is: 882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.60 : 1,430.16 = 589.20 : x
  2. Step 2: Convert to fraction form
    954.60/1,430.16 = 589.20/x
  3. Step 3: Cross multiply
    954.60x = 1,430.16 × 589.20
  4. Step 4: Simplify right side
    954.60x = 842,650.27
  5. Step 5: Solve for x
    x = 842,650.27/954.60
  6. Step 6: Final answer
    x = 882.73

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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.