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Finding the Fourth Proportional to 1,114.78, 1,537.58 and 783.58

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Solution

The fourth proportional to 1,114.78, 1,537.58 and 783.58 is: 1,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.78 : 1,537.58 = 783.58 : x
  2. Step 2: Convert to fraction form
    1,114.78/1,537.58 = 783.58/x
  3. Step 3: Cross multiply
    1,114.78x = 1,537.58 × 783.58
  4. Step 4: Simplify right side
    1,114.78x = 1,204,816.94
  5. Step 5: Solve for x
    x = 1,204,816.94/1,114.78
  6. Step 6: Final answer
    x = 1,080.77

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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.