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Finding the Fourth Proportional to 651.90, 972.84 and 582.69

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Solution

The fourth proportional to 651.90, 972.84 and 582.69 is: 869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 972.84 = 582.69 : x
  2. Step 2: Convert to fraction form
    651.90/972.84 = 582.69/x
  3. Step 3: Cross multiply
    651.90x = 972.84 × 582.69
  4. Step 4: Simplify right side
    651.90x = 566,864.14
  5. Step 5: Solve for x
    x = 566,864.14/651.90
  6. Step 6: Final answer
    x = 869.56

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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.