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Finding the Fourth Proportional to 935.01, 1,290.25 and 562

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Solution

The fourth proportional to 935.01, 1,290.25 and 562 is: 775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.01 : 1,290.25 = 562 : x
  2. Step 2: Convert to fraction form
    935.01/1,290.25 = 562/x
  3. Step 3: Cross multiply
    935.01x = 1,290.25 × 562
  4. Step 4: Simplify right side
    935.01x = 725,120.50
  5. Step 5: Solve for x
    x = 725,120.50/935.01
  6. Step 6: Final answer
    x = 775.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.