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Finding the Fourth Proportional to 1,078.21, 1,488.42 and 705.21

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Solution

The fourth proportional to 1,078.21, 1,488.42 and 705.21 is: 973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.21 : 1,488.42 = 705.21 : x
  2. Step 2: Convert to fraction form
    1,078.21/1,488.42 = 705.21/x
  3. Step 3: Cross multiply
    1,078.21x = 1,488.42 × 705.21
  4. Step 4: Simplify right side
    1,078.21x = 1,049,648.67
  5. Step 5: Solve for x
    x = 1,049,648.67/1,078.21
  6. Step 6: Final answer
    x = 973.51

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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.