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Finding the Fourth Proportional to 1,556.97, 2,335.45 and 402.63

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Solution

The fourth proportional to 1,556.97, 2,335.45 and 402.63 is: 603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.97 : 2,335.45 = 402.63 : x
  2. Step 2: Convert to fraction form
    1,556.97/2,335.45 = 402.63/x
  3. Step 3: Cross multiply
    1,556.97x = 2,335.45 × 402.63
  4. Step 4: Simplify right side
    1,556.97x = 940,322.23
  5. Step 5: Solve for x
    x = 940,322.23/1,556.97
  6. Step 6: Final answer
    x = 603.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.