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Finding the Fourth Proportional to 698.69, 964.01 and 559.09

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Solution

The fourth proportional to 698.69, 964.01 and 559.09 is: 771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.69 : 964.01 = 559.09 : x
  2. Step 2: Convert to fraction form
    698.69/964.01 = 559.09/x
  3. Step 3: Cross multiply
    698.69x = 964.01 × 559.09
  4. Step 4: Simplify right side
    698.69x = 538,970.38
  5. Step 5: Solve for x
    x = 538,970.38/698.69
  6. Step 6: Final answer
    x = 771.40

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Double scale
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1.5x scale

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.