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Finding the Fourth Proportional to 1,564.67, 2,348.60 and 785.22

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Solution

The fourth proportional to 1,564.67, 2,348.60 and 785.22 is: 1,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.67 : 2,348.60 = 785.22 : x
  2. Step 2: Convert to fraction form
    1,564.67/2,348.60 = 785.22/x
  3. Step 3: Cross multiply
    1,564.67x = 2,348.60 × 785.22
  4. Step 4: Simplify right side
    1,564.67x = 1,844,163.77
  5. Step 5: Solve for x
    x = 1,844,163.77/1,564.67
  6. Step 6: Final answer
    x = 1,178.63

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Why These Related Problems?

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