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Finding the Fourth Proportional to 1,030.17, 1,422.05 and 681.69

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Solution

The fourth proportional to 1,030.17, 1,422.05 and 681.69 is: 941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.17 : 1,422.05 = 681.69 : x
  2. Step 2: Convert to fraction form
    1,030.17/1,422.05 = 681.69/x
  3. Step 3: Cross multiply
    1,030.17x = 1,422.05 × 681.69
  4. Step 4: Simplify right side
    1,030.17x = 969,393.86
  5. Step 5: Solve for x
    x = 969,393.86/1,030.17
  6. Step 6: Final answer
    x = 941.00

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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.