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Finding the Fourth Proportional to 847.35, 1,167.51 and 790.20

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Solution

The fourth proportional to 847.35, 1,167.51 and 790.20 is: 1,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.35 : 1,167.51 = 790.20 : x
  2. Step 2: Convert to fraction form
    847.35/1,167.51 = 790.20/x
  3. Step 3: Cross multiply
    847.35x = 1,167.51 × 790.20
  4. Step 4: Simplify right side
    847.35x = 922,566.40
  5. Step 5: Solve for x
    x = 922,566.40/847.35
  6. Step 6: Final answer
    x = 1,088.77

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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.