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Finding the Fourth Proportional to 1,527.29, 2,290.91 and 431.65

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Solution

The fourth proportional to 1,527.29, 2,290.91 and 431.65 is: 647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.29 : 2,290.91 = 431.65 : x
  2. Step 2: Convert to fraction form
    1,527.29/2,290.91 = 431.65/x
  3. Step 3: Cross multiply
    1,527.29x = 2,290.91 × 431.65
  4. Step 4: Simplify right side
    1,527.29x = 988,871.30
  5. Step 5: Solve for x
    x = 988,871.30/1,527.29
  6. Step 6: Final answer
    x = 647.47

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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.