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Finding the Fourth Proportional to 975.82, 1,346.52 and 556.18

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Solution

The fourth proportional to 975.82, 1,346.52 and 556.18 is: 767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.82 : 1,346.52 = 556.18 : x
  2. Step 2: Convert to fraction form
    975.82/1,346.52 = 556.18/x
  3. Step 3: Cross multiply
    975.82x = 1,346.52 × 556.18
  4. Step 4: Simplify right side
    975.82x = 748,907.49
  5. Step 5: Solve for x
    x = 748,907.49/975.82
  6. Step 6: Final answer
    x = 767.46

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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.