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Finding the Fourth Proportional to 1,123.90, 1,551.06 and 626.66

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Solution

The fourth proportional to 1,123.90, 1,551.06 and 626.66 is: 864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.90 : 1,551.06 = 626.66 : x
  2. Step 2: Convert to fraction form
    1,123.90/1,551.06 = 626.66/x
  3. Step 3: Cross multiply
    1,123.90x = 1,551.06 × 626.66
  4. Step 4: Simplify right side
    1,123.90x = 971,987.26
  5. Step 5: Solve for x
    x = 971,987.26/1,123.90
  6. Step 6: Final answer
    x = 864.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.