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Finding the Fourth Proportional to 1,527.42, 2,290.68 and 553.26

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Solution

The fourth proportional to 1,527.42, 2,290.68 and 553.26 is: 829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.42 : 2,290.68 = 553.26 : x
  2. Step 2: Convert to fraction form
    1,527.42/2,290.68 = 553.26/x
  3. Step 3: Cross multiply
    1,527.42x = 2,290.68 × 553.26
  4. Step 4: Simplify right side
    1,527.42x = 1,267,341.62
  5. Step 5: Solve for x
    x = 1,267,341.62/1,527.42
  6. Step 6: Final answer
    x = 829.73

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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.