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Finding the Fourth Proportional to 977.86, 1,349.44 and 535.76

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Solution

The fourth proportional to 977.86, 1,349.44 and 535.76 is: 739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.86 : 1,349.44 = 535.76 : x
  2. Step 2: Convert to fraction form
    977.86/1,349.44 = 535.76/x
  3. Step 3: Cross multiply
    977.86x = 1,349.44 × 535.76
  4. Step 4: Simplify right side
    977.86x = 722,975.97
  5. Step 5: Solve for x
    x = 722,975.97/977.86
  6. Step 6: Final answer
    x = 739.35

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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.