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Finding the Fourth Proportional to 975.86, 1,346.58 and 582.83

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Solution

The fourth proportional to 975.86, 1,346.58 and 582.83 is: 804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.86 : 1,346.58 = 582.83 : x
  2. Step 2: Convert to fraction form
    975.86/1,346.58 = 582.83/x
  3. Step 3: Cross multiply
    975.86x = 1,346.58 × 582.83
  4. Step 4: Simplify right side
    975.86x = 784,820.49
  5. Step 5: Solve for x
    x = 784,820.49/975.86
  6. Step 6: Final answer
    x = 804.24

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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.