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Finding the Fourth Proportional to 833.63, 1,247.33 and 524.04

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Solution

The fourth proportional to 833.63, 1,247.33 and 524.04 is: 784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.63 : 1,247.33 = 524.04 : x
  2. Step 2: Convert to fraction form
    833.63/1,247.33 = 524.04/x
  3. Step 3: Cross multiply
    833.63x = 1,247.33 × 524.04
  4. Step 4: Simplify right side
    833.63x = 653,647.45
  5. Step 5: Solve for x
    x = 653,647.45/833.63
  6. Step 6: Final answer
    x = 784.10

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