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Finding the Fourth Proportional to 1,320.58, 1,820.91 and 987.94

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Solution

The fourth proportional to 1,320.58, 1,820.91 and 987.94 is: 1,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.58 : 1,820.91 = 987.94 : x
  2. Step 2: Convert to fraction form
    1,320.58/1,820.91 = 987.94/x
  3. Step 3: Cross multiply
    1,320.58x = 1,820.91 × 987.94
  4. Step 4: Simplify right side
    1,320.58x = 1,798,949.83
  5. Step 5: Solve for x
    x = 1,798,949.83/1,320.58
  6. Step 6: Final answer
    x = 1,362.24

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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.