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Finding the Fourth Proportional to 975.97, 1,346.65 and 556.31

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Solution

The fourth proportional to 975.97, 1,346.65 and 556.31 is: 767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.97 : 1,346.65 = 556.31 : x
  2. Step 2: Convert to fraction form
    975.97/1,346.65 = 556.31/x
  3. Step 3: Cross multiply
    975.97x = 1,346.65 × 556.31
  4. Step 4: Simplify right side
    975.97x = 749,154.86
  5. Step 5: Solve for x
    x = 749,154.86/975.97
  6. Step 6: Final answer
    x = 767.60

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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.