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Finding the Fourth Proportional to 1,290.51, 1,935.78 and 510.17

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Solution

The fourth proportional to 1,290.51, 1,935.78 and 510.17 is: 765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.51 : 1,935.78 = 510.17 : x
  2. Step 2: Convert to fraction form
    1,290.51/1,935.78 = 510.17/x
  3. Step 3: Cross multiply
    1,290.51x = 1,935.78 × 510.17
  4. Step 4: Simplify right side
    1,290.51x = 987,579.81
  5. Step 5: Solve for x
    x = 987,579.81/1,290.51
  6. Step 6: Final answer
    x = 765.27

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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.