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Finding the Fourth Proportional to 1,030.03, 1,422.05 and 657.59

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Solution

The fourth proportional to 1,030.03, 1,422.05 and 657.59 is: 907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.03 : 1,422.05 = 657.59 : x
  2. Step 2: Convert to fraction form
    1,030.03/1,422.05 = 657.59/x
  3. Step 3: Cross multiply
    1,030.03x = 1,422.05 × 657.59
  4. Step 4: Simplify right side
    1,030.03x = 935,115.46
  5. Step 5: Solve for x
    x = 935,115.46/1,030.03
  6. Step 6: Final answer
    x = 907.85

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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.