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Finding the Fourth Proportional to 1,527.65, 2,291.47 and 553.43

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Solution

The fourth proportional to 1,527.65, 2,291.47 and 553.43 is: 830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.65 : 2,291.47 = 553.43 : x
  2. Step 2: Convert to fraction form
    1,527.65/2,291.47 = 553.43/x
  3. Step 3: Cross multiply
    1,527.65x = 2,291.47 × 553.43
  4. Step 4: Simplify right side
    1,527.65x = 1,268,155.40
  5. Step 5: Solve for x
    x = 1,268,155.40/1,527.65
  6. Step 6: Final answer
    x = 830.14

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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.