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Finding the Fourth Proportional to 907.61, 1,362.25 and 561.62

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Solution

The fourth proportional to 907.61, 1,362.25 and 561.62 is: 842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.61 : 1,362.25 = 561.62 : x
  2. Step 2: Convert to fraction form
    907.61/1,362.25 = 561.62/x
  3. Step 3: Cross multiply
    907.61x = 1,362.25 × 561.62
  4. Step 4: Simplify right side
    907.61x = 765,066.85
  5. Step 5: Solve for x
    x = 765,066.85/907.61
  6. Step 6: Final answer
    x = 842.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.