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Finding the Fourth Proportional to 1,032.95, 1,540.58 and 996.50

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Solution

The fourth proportional to 1,032.95, 1,540.58 and 996.50 is: 1,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.95 : 1,540.58 = 996.50 : x
  2. Step 2: Convert to fraction form
    1,032.95/1,540.58 = 996.50/x
  3. Step 3: Cross multiply
    1,032.95x = 1,540.58 × 996.50
  4. Step 4: Simplify right side
    1,032.95x = 1,535,182.76
  5. Step 5: Solve for x
    x = 1,535,182.76/1,032.95
  6. Step 6: Final answer
    x = 1,486.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.