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Finding the Fourth Proportional to 1,020.19, 1,407.85 and 578.10

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Solution

The fourth proportional to 1,020.19, 1,407.85 and 578.10 is: 797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.19 : 1,407.85 = 578.10 : x
  2. Step 2: Convert to fraction form
    1,020.19/1,407.85 = 578.10/x
  3. Step 3: Cross multiply
    1,020.19x = 1,407.85 × 578.10
  4. Step 4: Simplify right side
    1,020.19x = 813,878.09
  5. Step 5: Solve for x
    x = 813,878.09/1,020.19
  6. Step 6: Final answer
    x = 797.77

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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.