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Finding the Fourth Proportional to 1,390.82, 1,918.25 and 947.95

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Solution

The fourth proportional to 1,390.82, 1,918.25 and 947.95 is: 1,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.82 : 1,918.25 = 947.95 : x
  2. Step 2: Convert to fraction form
    1,390.82/1,918.25 = 947.95/x
  3. Step 3: Cross multiply
    1,390.82x = 1,918.25 × 947.95
  4. Step 4: Simplify right side
    1,390.82x = 1,818,402.66
  5. Step 5: Solve for x
    x = 1,818,402.66/1,390.82
  6. Step 6: Final answer
    x = 1,307.44

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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.