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Finding the Fourth Proportional to 833.16, 1,149.81 and 597.18

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Solution

The fourth proportional to 833.16, 1,149.81 and 597.18 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.16 : 1,149.81 = 597.18 : x
  2. Step 2: Convert to fraction form
    833.16/1,149.81 = 597.18/x
  3. Step 3: Cross multiply
    833.16x = 1,149.81 × 597.18
  4. Step 4: Simplify right side
    833.16x = 686,643.54
  5. Step 5: Solve for x
    x = 686,643.54/833.16
  6. Step 6: Final answer
    x = 824.14

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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.