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Finding the Fourth Proportional to 1,398.54, 2,095.68 and 703.26

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Solution

The fourth proportional to 1,398.54, 2,095.68 and 703.26 is: 1,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.54 : 2,095.68 = 703.26 : x
  2. Step 2: Convert to fraction form
    1,398.54/2,095.68 = 703.26/x
  3. Step 3: Cross multiply
    1,398.54x = 2,095.68 × 703.26
  4. Step 4: Simplify right side
    1,398.54x = 1,473,807.92
  5. Step 5: Solve for x
    x = 1,473,807.92/1,398.54
  6. Step 6: Final answer
    x = 1,053.82

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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.