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Finding the Fourth Proportional to 975.93, 1,346.78 and 533.83

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Solution

The fourth proportional to 975.93, 1,346.78 and 533.83 is: 736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.93 : 1,346.78 = 533.83 : x
  2. Step 2: Convert to fraction form
    975.93/1,346.78 = 533.83/x
  3. Step 3: Cross multiply
    975.93x = 1,346.78 × 533.83
  4. Step 4: Simplify right side
    975.93x = 718,947.53
  5. Step 5: Solve for x
    x = 718,947.53/975.93
  6. Step 6: Final answer
    x = 736.68

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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.