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Finding the Fourth Proportional to 1,097.40, 1,514.34 and 631.65

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Solution

The fourth proportional to 1,097.40, 1,514.34 and 631.65 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,514.34 = 631.65 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,514.34 = 631.65/x
  3. Step 3: Cross multiply
    1,097.40x = 1,514.34 × 631.65
  4. Step 4: Simplify right side
    1,097.40x = 956,532.86
  5. Step 5: Solve for x
    x = 956,532.86/1,097.40
  6. Step 6: Final answer
    x = 871.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.