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Finding the Fourth Proportional to 853.15, 1,177.40 and 569.07

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Solution

The fourth proportional to 853.15, 1,177.40 and 569.07 is: 785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.15 : 1,177.40 = 569.07 : x
  2. Step 2: Convert to fraction form
    853.15/1,177.40 = 569.07/x
  3. Step 3: Cross multiply
    853.15x = 1,177.40 × 569.07
  4. Step 4: Simplify right side
    853.15x = 670,020.17
  5. Step 5: Solve for x
    x = 670,020.17/853.15
  6. Step 6: Final answer
    x = 785.35

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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.