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Finding the Fourth Proportional to 1,030.90, 1,422.87 and 657.80

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Solution

The fourth proportional to 1,030.90, 1,422.87 and 657.80 is: 907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.90 : 1,422.87 = 657.80 : x
  2. Step 2: Convert to fraction form
    1,030.90/1,422.87 = 657.80/x
  3. Step 3: Cross multiply
    1,030.90x = 1,422.87 × 657.80
  4. Step 4: Simplify right side
    1,030.90x = 935,963.89
  5. Step 5: Solve for x
    x = 935,963.89/1,030.90
  6. Step 6: Final answer
    x = 907.91

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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.