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Finding the Fourth Proportional to 1,182.80, 1,765.66 and 1,037

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Solution

The fourth proportional to 1,182.80, 1,765.66 and 1,037 is: 1,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.80 : 1,765.66 = 1,037 : x
  2. Step 2: Convert to fraction form
    1,182.80/1,765.66 = 1,037/x
  3. Step 3: Cross multiply
    1,182.80x = 1,765.66 × 1,037
  4. Step 4: Simplify right side
    1,182.80x = 1,830,989.42
  5. Step 5: Solve for x
    x = 1,830,989.42/1,182.80
  6. Step 6: Final answer
    x = 1,548.01

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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.