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Finding the Fourth Proportional to 841.66, 1,263.54 and 568.96

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Solution

The fourth proportional to 841.66, 1,263.54 and 568.96 is: 854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.66 : 1,263.54 = 568.96 : x
  2. Step 2: Convert to fraction form
    841.66/1,263.54 = 568.96/x
  3. Step 3: Cross multiply
    841.66x = 1,263.54 × 568.96
  4. Step 4: Simplify right side
    841.66x = 718,903.72
  5. Step 5: Solve for x
    x = 718,903.72/841.66
  6. Step 6: Final answer
    x = 854.15

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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.