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Finding the Fourth Proportional to 704.95, 1,055.77 and 567.25

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Solution

The fourth proportional to 704.95, 1,055.77 and 567.25 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.95 : 1,055.77 = 567.25 : x
  2. Step 2: Convert to fraction form
    704.95/1,055.77 = 567.25/x
  3. Step 3: Cross multiply
    704.95x = 1,055.77 × 567.25
  4. Step 4: Simplify right side
    704.95x = 598,881.47
  5. Step 5: Solve for x
    x = 598,881.47/704.95
  6. Step 6: Final answer
    x = 849.54

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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.