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Finding the Fourth Proportional to 1,026.18, 1,536.60 and 678.45

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Solution

The fourth proportional to 1,026.18, 1,536.60 and 678.45 is: 1,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.18 : 1,536.60 = 678.45 : x
  2. Step 2: Convert to fraction form
    1,026.18/1,536.60 = 678.45/x
  3. Step 3: Cross multiply
    1,026.18x = 1,536.60 × 678.45
  4. Step 4: Simplify right side
    1,026.18x = 1,042,506.27
  5. Step 5: Solve for x
    x = 1,042,506.27/1,026.18
  6. Step 6: Final answer
    x = 1,015.91

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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.