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Finding the Fourth Proportional to 900.05, 1,241.46 and 567.95

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Solution

The fourth proportional to 900.05, 1,241.46 and 567.95 is: 783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.05 : 1,241.46 = 567.95 : x
  2. Step 2: Convert to fraction form
    900.05/1,241.46 = 567.95/x
  3. Step 3: Cross multiply
    900.05x = 1,241.46 × 567.95
  4. Step 4: Simplify right side
    900.05x = 705,081.00
  5. Step 5: Solve for x
    x = 705,081.00/900.05
  6. Step 6: Final answer
    x = 783.38

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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.