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Finding the Fourth Proportional to 1,402.57, 1,935.63 and 773.14

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Solution

The fourth proportional to 1,402.57, 1,935.63 and 773.14 is: 1,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.57 : 1,935.63 = 773.14 : x
  2. Step 2: Convert to fraction form
    1,402.57/1,935.63 = 773.14/x
  3. Step 3: Cross multiply
    1,402.57x = 1,935.63 × 773.14
  4. Step 4: Simplify right side
    1,402.57x = 1,496,512.98
  5. Step 5: Solve for x
    x = 1,496,512.98/1,402.57
  6. Step 6: Final answer
    x = 1,066.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.