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Finding the Fourth Proportional to 1,176.12, 1,762.05 and 655.49

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Solution

The fourth proportional to 1,176.12, 1,762.05 and 655.49 is: 982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.12 : 1,762.05 = 655.49 : x
  2. Step 2: Convert to fraction form
    1,176.12/1,762.05 = 655.49/x
  3. Step 3: Cross multiply
    1,176.12x = 1,762.05 × 655.49
  4. Step 4: Simplify right side
    1,176.12x = 1,155,013.02
  5. Step 5: Solve for x
    x = 1,155,013.02/1,176.12
  6. Step 6: Final answer
    x = 982.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.