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Finding the Fourth Proportional to 1,020.01, 1,407.68 and 577.95

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Solution

The fourth proportional to 1,020.01, 1,407.68 and 577.95 is: 797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.01 : 1,407.68 = 577.95 : x
  2. Step 2: Convert to fraction form
    1,020.01/1,407.68 = 577.95/x
  3. Step 3: Cross multiply
    1,020.01x = 1,407.68 × 577.95
  4. Step 4: Simplify right side
    1,020.01x = 813,568.66
  5. Step 5: Solve for x
    x = 813,568.66/1,020.01
  6. Step 6: Final answer
    x = 797.61

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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.