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Finding the Fourth Proportional to 935.42, 1,290.96 and 562.46

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Solution

The fourth proportional to 935.42, 1,290.96 and 562.46 is: 776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.42 : 1,290.96 = 562.46 : x
  2. Step 2: Convert to fraction form
    935.42/1,290.96 = 562.46/x
  3. Step 3: Cross multiply
    935.42x = 1,290.96 × 562.46
  4. Step 4: Simplify right side
    935.42x = 726,113.36
  5. Step 5: Solve for x
    x = 726,113.36/935.42
  6. Step 6: Final answer
    x = 776.24

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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.