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Finding the Fourth Proportional to 977.94, 1,349.58 and 535.86

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Solution

The fourth proportional to 977.94, 1,349.58 and 535.86 is: 739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.94 : 1,349.58 = 535.86 : x
  2. Step 2: Convert to fraction form
    977.94/1,349.58 = 535.86/x
  3. Step 3: Cross multiply
    977.94x = 1,349.58 × 535.86
  4. Step 4: Simplify right side
    977.94x = 723,184.60
  5. Step 5: Solve for x
    x = 723,184.60/977.94
  6. Step 6: Final answer
    x = 739.50

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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.