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Finding the Fourth Proportional to 1,020.10, 1,407.87 and 578

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Solution

The fourth proportional to 1,020.10, 1,407.87 and 578 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.10 : 1,407.87 = 578 : x
  2. Step 2: Convert to fraction form
    1,020.10/1,407.87 = 578/x
  3. Step 3: Cross multiply
    1,020.10x = 1,407.87 × 578
  4. Step 4: Simplify right side
    1,020.10x = 813,748.86
  5. Step 5: Solve for x
    x = 813,748.86/1,020.10
  6. Step 6: Final answer
    x = 797.71

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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.