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Finding the Fourth Proportional to 1,030.50, 1,423.28 and 781.38

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Solution

The fourth proportional to 1,030.50, 1,423.28 and 781.38 is: 1,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.50 : 1,423.28 = 781.38 : x
  2. Step 2: Convert to fraction form
    1,030.50/1,423.28 = 781.38/x
  3. Step 3: Cross multiply
    1,030.50x = 1,423.28 × 781.38
  4. Step 4: Simplify right side
    1,030.50x = 1,112,122.53
  5. Step 5: Solve for x
    x = 1,112,122.53/1,030.50
  6. Step 6: Final answer
    x = 1,079.21

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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.