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Finding the Fourth Proportional to 1,176.84, 1,757.04 and 1,060.20

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Solution

The fourth proportional to 1,176.84, 1,757.04 and 1,060.20 is: 1,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.84 : 1,757.04 = 1,060.20 : x
  2. Step 2: Convert to fraction form
    1,176.84/1,757.04 = 1,060.20/x
  3. Step 3: Cross multiply
    1,176.84x = 1,757.04 × 1,060.20
  4. Step 4: Simplify right side
    1,176.84x = 1,862,813.81
  5. Step 5: Solve for x
    x = 1,862,813.81/1,176.84
  6. Step 6: Final answer
    x = 1,582.89

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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.