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Finding the Fourth Proportional to 1,139.95, 1,573.55 and 808.57

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Solution

The fourth proportional to 1,139.95, 1,573.55 and 808.57 is: 1,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.95 : 1,573.55 = 808.57 : x
  2. Step 2: Convert to fraction form
    1,139.95/1,573.55 = 808.57/x
  3. Step 3: Cross multiply
    1,139.95x = 1,573.55 × 808.57
  4. Step 4: Simplify right side
    1,139.95x = 1,272,325.32
  5. Step 5: Solve for x
    x = 1,272,325.32/1,139.95
  6. Step 6: Final answer
    x = 1,116.12

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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.