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Finding the Fourth Proportional to 1,162.42, 1,744.08 and 432.06

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Solution

The fourth proportional to 1,162.42, 1,744.08 and 432.06 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.42 : 1,744.08 = 432.06 : x
  2. Step 2: Convert to fraction form
    1,162.42/1,744.08 = 432.06/x
  3. Step 3: Cross multiply
    1,162.42x = 1,744.08 × 432.06
  4. Step 4: Simplify right side
    1,162.42x = 753,547.20
  5. Step 5: Solve for x
    x = 753,547.20/1,162.42
  6. Step 6: Final answer
    x = 648.26

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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.