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Finding the Fourth Proportional to 833.41, 1,149.72 and 553.24

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Solution

The fourth proportional to 833.41, 1,149.72 and 553.24 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.41 : 1,149.72 = 553.24 : x
  2. Step 2: Convert to fraction form
    833.41/1,149.72 = 553.24/x
  3. Step 3: Cross multiply
    833.41x = 1,149.72 × 553.24
  4. Step 4: Simplify right side
    833.41x = 636,071.09
  5. Step 5: Solve for x
    x = 636,071.09/833.41
  6. Step 6: Final answer
    x = 763.22

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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.