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Finding the Fourth Proportional to 1,407.73, 1,942.59 and 910.63

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Solution

The fourth proportional to 1,407.73, 1,942.59 and 910.63 is: 1,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.73 : 1,942.59 = 910.63 : x
  2. Step 2: Convert to fraction form
    1,407.73/1,942.59 = 910.63/x
  3. Step 3: Cross multiply
    1,407.73x = 1,942.59 × 910.63
  4. Step 4: Simplify right side
    1,407.73x = 1,768,980.73
  5. Step 5: Solve for x
    x = 1,768,980.73/1,407.73
  6. Step 6: Final answer
    x = 1,256.62

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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.