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Finding the Fourth Proportional to 978.07, 1,349.70 and 535.96

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Solution

The fourth proportional to 978.07, 1,349.70 and 535.96 is: 739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.07 : 1,349.70 = 535.96 : x
  2. Step 2: Convert to fraction form
    978.07/1,349.70 = 535.96/x
  3. Step 3: Cross multiply
    978.07x = 1,349.70 × 535.96
  4. Step 4: Simplify right side
    978.07x = 723,385.21
  5. Step 5: Solve for x
    x = 723,385.21/978.07
  6. Step 6: Final answer
    x = 739.60

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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.