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Finding the Fourth Proportional to 1,068.40, 1,602.48 and 418.96

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Solution

The fourth proportional to 1,068.40, 1,602.48 and 418.96 is: 628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.40 : 1,602.48 = 418.96 : x
  2. Step 2: Convert to fraction form
    1,068.40/1,602.48 = 418.96/x
  3. Step 3: Cross multiply
    1,068.40x = 1,602.48 × 418.96
  4. Step 4: Simplify right side
    1,068.40x = 671,375.02
  5. Step 5: Solve for x
    x = 671,375.02/1,068.40
  6. Step 6: Final answer
    x = 628.39

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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.