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Finding the Fourth Proportional to 1,087, 1,500.16 and 621.28

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Solution

The fourth proportional to 1,087, 1,500.16 and 621.28 is: 857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087 : 1,500.16 = 621.28 : x
  2. Step 2: Convert to fraction form
    1,087/1,500.16 = 621.28/x
  3. Step 3: Cross multiply
    1,087x = 1,500.16 × 621.28
  4. Step 4: Simplify right side
    1,087x = 932,019.40
  5. Step 5: Solve for x
    x = 932,019.40/1,087
  6. Step 6: Final answer
    x = 857.42

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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.