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Finding the Fourth Proportional to 1,291.13, 1,780.08 and 1,054.83

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Solution

The fourth proportional to 1,291.13, 1,780.08 and 1,054.83 is: 1,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.13 : 1,780.08 = 1,054.83 : x
  2. Step 2: Convert to fraction form
    1,291.13/1,780.08 = 1,054.83/x
  3. Step 3: Cross multiply
    1,291.13x = 1,780.08 × 1,054.83
  4. Step 4: Simplify right side
    1,291.13x = 1,877,681.79
  5. Step 5: Solve for x
    x = 1,877,681.79/1,291.13
  6. Step 6: Final answer
    x = 1,454.30

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