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Finding the Fourth Proportional to 690.17, 1,032.95 and 566.78

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Solution

The fourth proportional to 690.17, 1,032.95 and 566.78 is: 848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.17 : 1,032.95 = 566.78 : x
  2. Step 2: Convert to fraction form
    690.17/1,032.95 = 566.78/x
  3. Step 3: Cross multiply
    690.17x = 1,032.95 × 566.78
  4. Step 4: Simplify right side
    690.17x = 585,451.65
  5. Step 5: Solve for x
    x = 585,451.65/690.17
  6. Step 6: Final answer
    x = 848.27

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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.