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Finding the Fourth Proportional to 1,005.14, 1,386.84 and 632.30

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Solution

The fourth proportional to 1,005.14, 1,386.84 and 632.30 is: 872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.14 : 1,386.84 = 632.30 : x
  2. Step 2: Convert to fraction form
    1,005.14/1,386.84 = 632.30/x
  3. Step 3: Cross multiply
    1,005.14x = 1,386.84 × 632.30
  4. Step 4: Simplify right side
    1,005.14x = 876,898.93
  5. Step 5: Solve for x
    x = 876,898.93/1,005.14
  6. Step 6: Final answer
    x = 872.41

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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.