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Finding the Fourth Proportional to 703.51, 1,055.79 and 265.19

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Solution

The fourth proportional to 703.51, 1,055.79 and 265.19 is: 397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.51 : 1,055.79 = 265.19 : x
  2. Step 2: Convert to fraction form
    703.51/1,055.79 = 265.19/x
  3. Step 3: Cross multiply
    703.51x = 1,055.79 × 265.19
  4. Step 4: Simplify right side
    703.51x = 279,987.59
  5. Step 5: Solve for x
    x = 279,987.59/703.51
  6. Step 6: Final answer
    x = 397.99

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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.