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Finding the Fourth Proportional to 1,009.76, 1,514.79 and 462.47

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Solution

The fourth proportional to 1,009.76, 1,514.79 and 462.47 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.76 : 1,514.79 = 462.47 : x
  2. Step 2: Convert to fraction form
    1,009.76/1,514.79 = 462.47/x
  3. Step 3: Cross multiply
    1,009.76x = 1,514.79 × 462.47
  4. Step 4: Simplify right side
    1,009.76x = 700,537.36
  5. Step 5: Solve for x
    x = 700,537.36/1,009.76
  6. Step 6: Final answer
    x = 693.77

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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.