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Finding the Fourth Proportional to 852.24, 1,174.74 and 603.02

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Solution

The fourth proportional to 852.24, 1,174.74 and 603.02 is: 831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.24 : 1,174.74 = 603.02 : x
  2. Step 2: Convert to fraction form
    852.24/1,174.74 = 603.02/x
  3. Step 3: Cross multiply
    852.24x = 1,174.74 × 603.02
  4. Step 4: Simplify right side
    852.24x = 708,391.71
  5. Step 5: Solve for x
    x = 708,391.71/852.24
  6. Step 6: Final answer
    x = 831.21

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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.