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Finding the Fourth Proportional to 677.10, 933.14 and 511.05

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Solution

The fourth proportional to 677.10, 933.14 and 511.05 is: 704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.10 : 933.14 = 511.05 : x
  2. Step 2: Convert to fraction form
    677.10/933.14 = 511.05/x
  3. Step 3: Cross multiply
    677.10x = 933.14 × 511.05
  4. Step 4: Simplify right side
    677.10x = 476,882.47
  5. Step 5: Solve for x
    x = 476,882.47/677.10
  6. Step 6: Final answer
    x = 704.30

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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.