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Finding the Fourth Proportional to 824.51, 1,136.25 and 603.52

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Solution

The fourth proportional to 824.51, 1,136.25 and 603.52 is: 831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.51 : 1,136.25 = 603.52 : x
  2. Step 2: Convert to fraction form
    824.51/1,136.25 = 603.52/x
  3. Step 3: Cross multiply
    824.51x = 1,136.25 × 603.52
  4. Step 4: Simplify right side
    824.51x = 685,746.76
  5. Step 5: Solve for x
    x = 685,746.76/824.51
  6. Step 6: Final answer
    x = 831.70

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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.