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Finding the Fourth Proportional to 941.19, 1,298.84 and 568.10

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Solution

The fourth proportional to 941.19, 1,298.84 and 568.10 is: 783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.19 : 1,298.84 = 568.10 : x
  2. Step 2: Convert to fraction form
    941.19/1,298.84 = 568.10/x
  3. Step 3: Cross multiply
    941.19x = 1,298.84 × 568.10
  4. Step 4: Simplify right side
    941.19x = 737,861.67
  5. Step 5: Solve for x
    x = 737,861.67/941.19
  6. Step 6: Final answer
    x = 783.97

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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.