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Finding the Fourth Proportional to 774.16, 1,068.34 and 420.08

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Solution

The fourth proportional to 774.16, 1,068.34 and 420.08 is: 579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,068.34 = 420.08 : x
  2. Step 2: Convert to fraction form
    774.16/1,068.34 = 420.08/x
  3. Step 3: Cross multiply
    774.16x = 1,068.34 × 420.08
  4. Step 4: Simplify right side
    774.16x = 448,790.07
  5. Step 5: Solve for x
    x = 448,790.07/774.16
  6. Step 6: Final answer
    x = 579.71

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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.