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Finding the Fourth Proportional to 589.81, 884.60 and 560.54

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Solution

The fourth proportional to 589.81, 884.60 and 560.54 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.81 : 884.60 = 560.54 : x
  2. Step 2: Convert to fraction form
    589.81/884.60 = 560.54/x
  3. Step 3: Cross multiply
    589.81x = 884.60 × 560.54
  4. Step 4: Simplify right side
    589.81x = 495,848.67
  5. Step 5: Solve for x
    x = 495,848.67/589.81
  6. Step 6: Final answer
    x = 840.70

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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.