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Finding the Fourth Proportional to 1,076.34, 1,613.13 and 1,064.73

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Solution

The fourth proportional to 1,076.34, 1,613.13 and 1,064.73 is: 1,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.34 : 1,613.13 = 1,064.73 : x
  2. Step 2: Convert to fraction form
    1,076.34/1,613.13 = 1,064.73/x
  3. Step 3: Cross multiply
    1,076.34x = 1,613.13 × 1,064.73
  4. Step 4: Simplify right side
    1,076.34x = 1,717,547.90
  5. Step 5: Solve for x
    x = 1,717,547.90/1,076.34
  6. Step 6: Final answer
    x = 1,595.73

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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.