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Finding the Fourth Proportional to 975.84, 1,346.65 and 533.75

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Solution

The fourth proportional to 975.84, 1,346.65 and 533.75 is: 736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.84 : 1,346.65 = 533.75 : x
  2. Step 2: Convert to fraction form
    975.84/1,346.65 = 533.75/x
  3. Step 3: Cross multiply
    975.84x = 1,346.65 × 533.75
  4. Step 4: Simplify right side
    975.84x = 718,766.37
  5. Step 5: Solve for x
    x = 718,766.37/975.84
  6. Step 6: Final answer
    x = 736.56

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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.