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Finding the Fourth Proportional to 1,434.93, 1,979.59 and 875.12

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Solution

The fourth proportional to 1,434.93, 1,979.59 and 875.12 is: 1,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.93 : 1,979.59 = 875.12 : x
  2. Step 2: Convert to fraction form
    1,434.93/1,979.59 = 875.12/x
  3. Step 3: Cross multiply
    1,434.93x = 1,979.59 × 875.12
  4. Step 4: Simplify right side
    1,434.93x = 1,732,379.49
  5. Step 5: Solve for x
    x = 1,732,379.49/1,434.93
  6. Step 6: Final answer
    x = 1,207.29

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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.