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Finding the Fourth Proportional to 977.53, 1,349.00 and 535.43

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Solution

The fourth proportional to 977.53, 1,349.00 and 535.43 is: 738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.53 : 1,349.00 = 535.43 : x
  2. Step 2: Convert to fraction form
    977.53/1,349.00 = 535.43/x
  3. Step 3: Cross multiply
    977.53x = 1,349.00 × 535.43
  4. Step 4: Simplify right side
    977.53x = 722,303.31
  5. Step 5: Solve for x
    x = 722,303.31/977.53
  6. Step 6: Final answer
    x = 738.90

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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.