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Finding the Fourth Proportional to 975.48, 1,346.16 and 582.52

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Solution

The fourth proportional to 975.48, 1,346.16 and 582.52 is: 803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.48 : 1,346.16 = 582.52 : x
  2. Step 2: Convert to fraction form
    975.48/1,346.16 = 582.52/x
  3. Step 3: Cross multiply
    975.48x = 1,346.16 × 582.52
  4. Step 4: Simplify right side
    975.48x = 784,165.12
  5. Step 5: Solve for x
    x = 784,165.12/975.48
  6. Step 6: Final answer
    x = 803.88

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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.