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Finding the Fourth Proportional to 785.47, 1,176.61 and 553.33

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Solution

The fourth proportional to 785.47, 1,176.61 and 553.33 is: 828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.47 : 1,176.61 = 553.33 : x
  2. Step 2: Convert to fraction form
    785.47/1,176.61 = 553.33/x
  3. Step 3: Cross multiply
    785.47x = 1,176.61 × 553.33
  4. Step 4: Simplify right side
    785.47x = 651,053.61
  5. Step 5: Solve for x
    x = 651,053.61/785.47
  6. Step 6: Final answer
    x = 828.87

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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.