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Finding the Fourth Proportional to 1,527.80, 2,291.22 and 553.66

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Solution

The fourth proportional to 1,527.80, 2,291.22 and 553.66 is: 830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.80 : 2,291.22 = 553.66 : x
  2. Step 2: Convert to fraction form
    1,527.80/2,291.22 = 553.66/x
  3. Step 3: Cross multiply
    1,527.80x = 2,291.22 × 553.66
  4. Step 4: Simplify right side
    1,527.80x = 1,268,551.14
  5. Step 5: Solve for x
    x = 1,268,551.14/1,527.80
  6. Step 6: Final answer
    x = 830.32

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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.