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Finding the Fourth Proportional to 1,291.04, 1,935.48 and 521.36

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Solution

The fourth proportional to 1,291.04, 1,935.48 and 521.36 is: 781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.04 : 1,935.48 = 521.36 : x
  2. Step 2: Convert to fraction form
    1,291.04/1,935.48 = 521.36/x
  3. Step 3: Cross multiply
    1,291.04x = 1,935.48 × 521.36
  4. Step 4: Simplify right side
    1,291.04x = 1,009,081.85
  5. Step 5: Solve for x
    x = 1,009,081.85/1,291.04
  6. Step 6: Final answer
    x = 781.60

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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.