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Finding the Fourth Proportional to 954.79, 1,432.03 and 584.47

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Solution

The fourth proportional to 954.79, 1,432.03 and 584.47 is: 876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.79 : 1,432.03 = 584.47 : x
  2. Step 2: Convert to fraction form
    954.79/1,432.03 = 584.47/x
  3. Step 3: Cross multiply
    954.79x = 1,432.03 × 584.47
  4. Step 4: Simplify right side
    954.79x = 836,969.48
  5. Step 5: Solve for x
    x = 836,969.48/954.79
  6. Step 6: Final answer
    x = 876.60

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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.