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Finding the Fourth Proportional to 1,012.07, 1,517.02 and 578.45

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Solution

The fourth proportional to 1,012.07, 1,517.02 and 578.45 is: 867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.07 : 1,517.02 = 578.45 : x
  2. Step 2: Convert to fraction form
    1,012.07/1,517.02 = 578.45/x
  3. Step 3: Cross multiply
    1,012.07x = 1,517.02 × 578.45
  4. Step 4: Simplify right side
    1,012.07x = 877,522.57
  5. Step 5: Solve for x
    x = 877,522.57/1,012.07
  6. Step 6: Final answer
    x = 867.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.