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Finding the Fourth Proportional to 934.98, 1,401.77 and 569.70

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Solution

The fourth proportional to 934.98, 1,401.77 and 569.70 is: 854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.98 : 1,401.77 = 569.70 : x
  2. Step 2: Convert to fraction form
    934.98/1,401.77 = 569.70/x
  3. Step 3: Cross multiply
    934.98x = 1,401.77 × 569.70
  4. Step 4: Simplify right side
    934.98x = 798,585.52
  5. Step 5: Solve for x
    x = 798,585.52/934.98
  6. Step 6: Final answer
    x = 854.12

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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.