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Finding the Fourth Proportional to 848.34, 1,172.61 and 651.78

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Solution

The fourth proportional to 848.34, 1,172.61 and 651.78 is: 900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.34 : 1,172.61 = 651.78 : x
  2. Step 2: Convert to fraction form
    848.34/1,172.61 = 651.78/x
  3. Step 3: Cross multiply
    848.34x = 1,172.61 × 651.78
  4. Step 4: Simplify right side
    848.34x = 764,283.75
  5. Step 5: Solve for x
    x = 764,283.75/848.34
  6. Step 6: Final answer
    x = 900.92

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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.