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Finding the Fourth Proportional to 1,020.04, 1,407.85 and 577.96

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Solution

The fourth proportional to 1,020.04, 1,407.85 and 577.96 is: 797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.04 : 1,407.85 = 577.96 : x
  2. Step 2: Convert to fraction form
    1,020.04/1,407.85 = 577.96/x
  3. Step 3: Cross multiply
    1,020.04x = 1,407.85 × 577.96
  4. Step 4: Simplify right side
    1,020.04x = 813,676.02
  5. Step 5: Solve for x
    x = 813,676.02/1,020.04
  6. Step 6: Final answer
    x = 797.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.