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Finding the Fourth Proportional to 1,068.22, 1,602.02 and 410.05

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Solution

The fourth proportional to 1,068.22, 1,602.02 and 410.05 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.22 : 1,602.02 = 410.05 : x
  2. Step 2: Convert to fraction form
    1,068.22/1,602.02 = 410.05/x
  3. Step 3: Cross multiply
    1,068.22x = 1,602.02 × 410.05
  4. Step 4: Simplify right side
    1,068.22x = 656,903.01
  5. Step 5: Solve for x
    x = 656,903.01/1,068.22
  6. Step 6: Final answer
    x = 614.95

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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.