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Finding the Fourth Proportional to 1,295.82, 1,943.72 and 526.32

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Solution

The fourth proportional to 1,295.82, 1,943.72 and 526.32 is: 789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.82 : 1,943.72 = 526.32 : x
  2. Step 2: Convert to fraction form
    1,295.82/1,943.72 = 526.32/x
  3. Step 3: Cross multiply
    1,295.82x = 1,943.72 × 526.32
  4. Step 4: Simplify right side
    1,295.82x = 1,023,016.08
  5. Step 5: Solve for x
    x = 1,023,016.08/1,295.82
  6. Step 6: Final answer
    x = 789.47

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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.