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Finding the Fourth Proportional to 975.98, 1,346.82 and 582.77

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Solution

The fourth proportional to 975.98, 1,346.82 and 582.77 is: 804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.98 : 1,346.82 = 582.77 : x
  2. Step 2: Convert to fraction form
    975.98/1,346.82 = 582.77/x
  3. Step 3: Cross multiply
    975.98x = 1,346.82 × 582.77
  4. Step 4: Simplify right side
    975.98x = 784,886.29
  5. Step 5: Solve for x
    x = 784,886.29/975.98
  6. Step 6: Final answer
    x = 804.20

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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.