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Finding the Fourth Proportional to 1,137.70, 1,569.27 and 783.46

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Solution

The fourth proportional to 1,137.70, 1,569.27 and 783.46 is: 1,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.70 : 1,569.27 = 783.46 : x
  2. Step 2: Convert to fraction form
    1,137.70/1,569.27 = 783.46/x
  3. Step 3: Cross multiply
    1,137.70x = 1,569.27 × 783.46
  4. Step 4: Simplify right side
    1,137.70x = 1,229,460.27
  5. Step 5: Solve for x
    x = 1,229,460.27/1,137.70
  6. Step 6: Final answer
    x = 1,080.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.