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Finding the Fourth Proportional to 697.38, 963.06 and 597.22

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Solution

The fourth proportional to 697.38, 963.06 and 597.22 is: 824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.38 : 963.06 = 597.22 : x
  2. Step 2: Convert to fraction form
    697.38/963.06 = 597.22/x
  3. Step 3: Cross multiply
    697.38x = 963.06 × 597.22
  4. Step 4: Simplify right side
    697.38x = 575,158.69
  5. Step 5: Solve for x
    x = 575,158.69/697.38
  6. Step 6: Final answer
    x = 824.74

Related Problems

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Half scale
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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.