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Finding the Fourth Proportional to 1,162.79, 1,743.51 and 468.89

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Solution

The fourth proportional to 1,162.79, 1,743.51 and 468.89 is: 703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.79 : 1,743.51 = 468.89 : x
  2. Step 2: Convert to fraction form
    1,162.79/1,743.51 = 468.89/x
  3. Step 3: Cross multiply
    1,162.79x = 1,743.51 × 468.89
  4. Step 4: Simplify right side
    1,162.79x = 817,514.40
  5. Step 5: Solve for x
    x = 817,514.40/1,162.79
  6. Step 6: Final answer
    x = 703.06

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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.