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Finding the Fourth Proportional to 973.08, 1,341.82 and 847.66

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Solution

The fourth proportional to 973.08, 1,341.82 and 847.66 is: 1,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.08 : 1,341.82 = 847.66 : x
  2. Step 2: Convert to fraction form
    973.08/1,341.82 = 847.66/x
  3. Step 3: Cross multiply
    973.08x = 1,341.82 × 847.66
  4. Step 4: Simplify right side
    973.08x = 1,137,407.14
  5. Step 5: Solve for x
    x = 1,137,407.14/973.08
  6. Step 6: Final answer
    x = 1,168.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.