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Finding the Fourth Proportional to 774.02, 1,068.12 and 511.58

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Solution

The fourth proportional to 774.02, 1,068.12 and 511.58 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.02 : 1,068.12 = 511.58 : x
  2. Step 2: Convert to fraction form
    774.02/1,068.12 = 511.58/x
  3. Step 3: Cross multiply
    774.02x = 1,068.12 × 511.58
  4. Step 4: Simplify right side
    774.02x = 546,428.83
  5. Step 5: Solve for x
    x = 546,428.83/774.02
  6. Step 6: Final answer
    x = 705.96

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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.