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Finding the Fourth Proportional to 1,046.65, 1,566.91 and 551.90

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Solution

The fourth proportional to 1,046.65, 1,566.91 and 551.90 is: 826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.65 : 1,566.91 = 551.90 : x
  2. Step 2: Convert to fraction form
    1,046.65/1,566.91 = 551.90/x
  3. Step 3: Cross multiply
    1,046.65x = 1,566.91 × 551.90
  4. Step 4: Simplify right side
    1,046.65x = 864,777.63
  5. Step 5: Solve for x
    x = 864,777.63/1,046.65
  6. Step 6: Final answer
    x = 826.23

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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.