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Finding the Fourth Proportional to 654.42, 981.80 and 582.78

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Solution

The fourth proportional to 654.42, 981.80 and 582.78 is: 874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 981.80 = 582.78 : x
  2. Step 2: Convert to fraction form
    654.42/981.80 = 582.78/x
  3. Step 3: Cross multiply
    654.42x = 981.80 × 582.78
  4. Step 4: Simplify right side
    654.42x = 572,173.40
  5. Step 5: Solve for x
    x = 572,173.40/654.42
  6. Step 6: Final answer
    x = 874.32

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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.