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Finding the Fourth Proportional to 1,020.05, 1,407.70 and 578.02

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Solution

The fourth proportional to 1,020.05, 1,407.70 and 578.02 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.05 : 1,407.70 = 578.02 : x
  2. Step 2: Convert to fraction form
    1,020.05/1,407.70 = 578.02/x
  3. Step 3: Cross multiply
    1,020.05x = 1,407.70 × 578.02
  4. Step 4: Simplify right side
    1,020.05x = 813,671.72
  5. Step 5: Solve for x
    x = 813,671.72/1,020.05
  6. Step 6: Final answer
    x = 797.68

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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.