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Finding the Fourth Proportional to 697.08, 1,047.24 and 603.12

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Solution

The fourth proportional to 697.08, 1,047.24 and 603.12 is: 906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 1,047.24 = 603.12 : x
  2. Step 2: Convert to fraction form
    697.08/1,047.24 = 603.12/x
  3. Step 3: Cross multiply
    697.08x = 1,047.24 × 603.12
  4. Step 4: Simplify right side
    697.08x = 631,611.39
  5. Step 5: Solve for x
    x = 631,611.39/697.08
  6. Step 6: Final answer
    x = 906.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.