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Finding the Fourth Proportional to 935.14, 1,290.25 and 562.04

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Solution

The fourth proportional to 935.14, 1,290.25 and 562.04 is: 775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.14 : 1,290.25 = 562.04 : x
  2. Step 2: Convert to fraction form
    935.14/1,290.25 = 562.04/x
  3. Step 3: Cross multiply
    935.14x = 1,290.25 × 562.04
  4. Step 4: Simplify right side
    935.14x = 725,172.11
  5. Step 5: Solve for x
    x = 725,172.11/935.14
  6. Step 6: Final answer
    x = 775.47

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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.