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Finding the Fourth Proportional to 651.90, 974.00 and 565.50

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Solution

The fourth proportional to 651.90, 974.00 and 565.50 is: 844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 974.00 = 565.50 : x
  2. Step 2: Convert to fraction form
    651.90/974.00 = 565.50/x
  3. Step 3: Cross multiply
    651.90x = 974.00 × 565.50
  4. Step 4: Simplify right side
    651.90x = 550,794.17
  5. Step 5: Solve for x
    x = 550,794.17/651.90
  6. Step 6: Final answer
    x = 844.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.