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Finding the Fourth Proportional to 1,178.25, 1,766.03 and 561.08

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Solution

The fourth proportional to 1,178.25, 1,766.03 and 561.08 is: 840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.25 : 1,766.03 = 561.08 : x
  2. Step 2: Convert to fraction form
    1,178.25/1,766.03 = 561.08/x
  3. Step 3: Cross multiply
    1,178.25x = 1,766.03 × 561.08
  4. Step 4: Simplify right side
    1,178.25x = 990,884.11
  5. Step 5: Solve for x
    x = 990,884.11/1,178.25
  6. Step 6: Final answer
    x = 840.98

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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.