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Finding the Fourth Proportional to 847.56, 1,264.29 and 788.16

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Solution

The fourth proportional to 847.56, 1,264.29 and 788.16 is: 1,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.56 : 1,264.29 = 788.16 : x
  2. Step 2: Convert to fraction form
    847.56/1,264.29 = 788.16/x
  3. Step 3: Cross multiply
    847.56x = 1,264.29 × 788.16
  4. Step 4: Simplify right side
    847.56x = 996,462.81
  5. Step 5: Solve for x
    x = 996,462.81/847.56
  6. Step 6: Final answer
    x = 1,175.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.