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Finding the Fourth Proportional to 1,254.29, 1,888.01 and 1,066.37

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Solution

The fourth proportional to 1,254.29, 1,888.01 and 1,066.37 is: 1,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.29 : 1,888.01 = 1,066.37 : x
  2. Step 2: Convert to fraction form
    1,254.29/1,888.01 = 1,066.37/x
  3. Step 3: Cross multiply
    1,254.29x = 1,888.01 × 1,066.37
  4. Step 4: Simplify right side
    1,254.29x = 2,013,306.45
  5. Step 5: Solve for x
    x = 2,013,306.45/1,254.29
  6. Step 6: Final answer
    x = 1,605.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.