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Finding the Fourth Proportional to 670.74, 926.52 and 559.08

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Solution

The fourth proportional to 670.74, 926.52 and 559.08 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.74 : 926.52 = 559.08 : x
  2. Step 2: Convert to fraction form
    670.74/926.52 = 559.08/x
  3. Step 3: Cross multiply
    670.74x = 926.52 × 559.08
  4. Step 4: Simplify right side
    670.74x = 517,995.80
  5. Step 5: Solve for x
    x = 517,995.80/670.74
  6. Step 6: Final answer
    x = 772.27

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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.