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Finding the Fourth Proportional to 1,009.89, 1,393.38 and 632.10

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Solution

The fourth proportional to 1,009.89, 1,393.38 and 632.10 is: 872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.89 : 1,393.38 = 632.10 : x
  2. Step 2: Convert to fraction form
    1,009.89/1,393.38 = 632.10/x
  3. Step 3: Cross multiply
    1,009.89x = 1,393.38 × 632.10
  4. Step 4: Simplify right side
    1,009.89x = 880,758.95
  5. Step 5: Solve for x
    x = 880,758.95/1,009.89
  6. Step 6: Final answer
    x = 872.13

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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.