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Finding the Fourth Proportional to 1,118.42, 1,677.30 and 569.84

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Solution

The fourth proportional to 1,118.42, 1,677.30 and 569.84 is: 854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.42 : 1,677.30 = 569.84 : x
  2. Step 2: Convert to fraction form
    1,118.42/1,677.30 = 569.84/x
  3. Step 3: Cross multiply
    1,118.42x = 1,677.30 × 569.84
  4. Step 4: Simplify right side
    1,118.42x = 955,796.83
  5. Step 5: Solve for x
    x = 955,796.83/1,118.42
  6. Step 6: Final answer
    x = 854.60

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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.