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Finding the Fourth Proportional to 1,068.21, 1,602.90 and 418.86

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Solution

The fourth proportional to 1,068.21, 1,602.90 and 418.86 is: 628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.21 : 1,602.90 = 418.86 : x
  2. Step 2: Convert to fraction form
    1,068.21/1,602.90 = 418.86/x
  3. Step 3: Cross multiply
    1,068.21x = 1,602.90 × 418.86
  4. Step 4: Simplify right side
    1,068.21x = 671,390.69
  5. Step 5: Solve for x
    x = 671,390.69/1,068.21
  6. Step 6: Final answer
    x = 628.52

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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.