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Finding the Fourth Proportional to 1,009.74, 1,514.62 and 316.47

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Solution

The fourth proportional to 1,009.74, 1,514.62 and 316.47 is: 474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.74 : 1,514.62 = 316.47 : x
  2. Step 2: Convert to fraction form
    1,009.74/1,514.62 = 316.47/x
  3. Step 3: Cross multiply
    1,009.74x = 1,514.62 × 316.47
  4. Step 4: Simplify right side
    1,009.74x = 479,325.17
  5. Step 5: Solve for x
    x = 479,325.17/1,009.74
  6. Step 6: Final answer
    x = 474.70

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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.