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Finding the Fourth Proportional to 1,407.77, 1,941.80 and 847.86

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Solution

The fourth proportional to 1,407.77, 1,941.80 and 847.86 is: 1,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.77 : 1,941.80 = 847.86 : x
  2. Step 2: Convert to fraction form
    1,407.77/1,941.80 = 847.86/x
  3. Step 3: Cross multiply
    1,407.77x = 1,941.80 × 847.86
  4. Step 4: Simplify right side
    1,407.77x = 1,646,374.55
  5. Step 5: Solve for x
    x = 1,646,374.55/1,407.77
  6. Step 6: Final answer
    x = 1,169.49

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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.