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Finding the Fourth Proportional to 1,030.41, 1,422.18 and 631.89

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Solution

The fourth proportional to 1,030.41, 1,422.18 and 631.89 is: 872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.41 : 1,422.18 = 631.89 : x
  2. Step 2: Convert to fraction form
    1,030.41/1,422.18 = 631.89/x
  3. Step 3: Cross multiply
    1,030.41x = 1,422.18 × 631.89
  4. Step 4: Simplify right side
    1,030.41x = 898,661.32
  5. Step 5: Solve for x
    x = 898,661.32/1,030.41
  6. Step 6: Final answer
    x = 872.14

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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.