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Finding the Fourth Proportional to 1,527.54, 2,290.74 and 553.38

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Solution

The fourth proportional to 1,527.54, 2,290.74 and 553.38 is: 829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.54 : 2,290.74 = 553.38 : x
  2. Step 2: Convert to fraction form
    1,527.54/2,290.74 = 553.38/x
  3. Step 3: Cross multiply
    1,527.54x = 2,290.74 × 553.38
  4. Step 4: Simplify right side
    1,527.54x = 1,267,649.70
  5. Step 5: Solve for x
    x = 1,267,649.70/1,527.54
  6. Step 6: Final answer
    x = 829.86

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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.