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Finding the Fourth Proportional to 1,527.76, 2,291.65 and 553.84

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Solution

The fourth proportional to 1,527.76, 2,291.65 and 553.84 is: 830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.76 : 2,291.65 = 553.84 : x
  2. Step 2: Convert to fraction form
    1,527.76/2,291.65 = 553.84/x
  3. Step 3: Cross multiply
    1,527.76x = 2,291.65 × 553.84
  4. Step 4: Simplify right side
    1,527.76x = 1,269,193.90
  5. Step 5: Solve for x
    x = 1,269,193.90/1,527.76
  6. Step 6: Final answer
    x = 830.76

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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.