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Finding the Fourth Proportional to 977.76, 1,344 and 877.32

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Solution

The fourth proportional to 977.76, 1,344 and 877.32 is: 1,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.76 : 1,344 = 877.32 : x
  2. Step 2: Convert to fraction form
    977.76/1,344 = 877.32/x
  3. Step 3: Cross multiply
    977.76x = 1,344 × 877.32
  4. Step 4: Simplify right side
    977.76x = 1,179,118.08
  5. Step 5: Solve for x
    x = 1,179,118.08/977.76
  6. Step 6: Final answer
    x = 1,205.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.