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Finding the Fourth Proportional to 1,570.83, 2,356.40 and 531.15

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Solution

The fourth proportional to 1,570.83, 2,356.40 and 531.15 is: 796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.83 : 2,356.40 = 531.15 : x
  2. Step 2: Convert to fraction form
    1,570.83/2,356.40 = 531.15/x
  3. Step 3: Cross multiply
    1,570.83x = 2,356.40 × 531.15
  4. Step 4: Simplify right side
    1,570.83x = 1,251,599.20
  5. Step 5: Solve for x
    x = 1,251,599.20/1,570.83
  6. Step 6: Final answer
    x = 796.78

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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.