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Finding the Fourth Proportional to 1,407.12, 1,941.21 and 965.58

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Solution

The fourth proportional to 1,407.12, 1,941.21 and 965.58 is: 1,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.12 : 1,941.21 = 965.58 : x
  2. Step 2: Convert to fraction form
    1,407.12/1,941.21 = 965.58/x
  3. Step 3: Cross multiply
    1,407.12x = 1,941.21 × 965.58
  4. Step 4: Simplify right side
    1,407.12x = 1,874,393.55
  5. Step 5: Solve for x
    x = 1,874,393.55/1,407.12
  6. Step 6: Final answer
    x = 1,332.08

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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.