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Finding the Fourth Proportional to 1,012.16, 1,517.16 and 578.40

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Solution

The fourth proportional to 1,012.16, 1,517.16 and 578.40 is: 866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.16 : 1,517.16 = 578.40 : x
  2. Step 2: Convert to fraction form
    1,012.16/1,517.16 = 578.40/x
  3. Step 3: Cross multiply
    1,012.16x = 1,517.16 × 578.40
  4. Step 4: Simplify right side
    1,012.16x = 877,525.34
  5. Step 5: Solve for x
    x = 877,525.34/1,012.16
  6. Step 6: Final answer
    x = 866.98

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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.