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Finding the Fourth Proportional to 975.45, 1,346.04 and 533.31

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Solution

The fourth proportional to 975.45, 1,346.04 and 533.31 is: 735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.45 : 1,346.04 = 533.31 : x
  2. Step 2: Convert to fraction form
    975.45/1,346.04 = 533.31/x
  3. Step 3: Cross multiply
    975.45x = 1,346.04 × 533.31
  4. Step 4: Simplify right side
    975.45x = 717,856.59
  5. Step 5: Solve for x
    x = 717,856.59/975.45
  6. Step 6: Final answer
    x = 735.92

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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.