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Finding the Fourth Proportional to 1,527.66, 2,291.64 and 432.03

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Solution

The fourth proportional to 1,527.66, 2,291.64 and 432.03 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.66 : 2,291.64 = 432.03 : x
  2. Step 2: Convert to fraction form
    1,527.66/2,291.64 = 432.03/x
  3. Step 3: Cross multiply
    1,527.66x = 2,291.64 × 432.03
  4. Step 4: Simplify right side
    1,527.66x = 990,057.23
  5. Step 5: Solve for x
    x = 990,057.23/1,527.66
  6. Step 6: Final answer
    x = 648.09

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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.