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Finding the Fourth Proportional to 1,291.39, 1,935.19 and 510.60

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Solution

The fourth proportional to 1,291.39, 1,935.19 and 510.60 is: 765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.39 : 1,935.19 = 510.60 : x
  2. Step 2: Convert to fraction form
    1,291.39/1,935.19 = 510.60/x
  3. Step 3: Cross multiply
    1,291.39x = 1,935.19 × 510.60
  4. Step 4: Simplify right side
    1,291.39x = 988,115.91
  5. Step 5: Solve for x
    x = 988,115.91/1,291.39
  6. Step 6: Final answer
    x = 765.16

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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.