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Finding the Fourth Proportional to 954.94, 1,317.80 and 562.20

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Solution

The fourth proportional to 954.94, 1,317.80 and 562.20 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.94 : 1,317.80 = 562.20 : x
  2. Step 2: Convert to fraction form
    954.94/1,317.80 = 562.20/x
  3. Step 3: Cross multiply
    954.94x = 1,317.80 × 562.20
  4. Step 4: Simplify right side
    954.94x = 740,867.16
  5. Step 5: Solve for x
    x = 740,867.16/954.94
  6. Step 6: Final answer
    x = 775.83

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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.