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Finding the Fourth Proportional to 1,384.14, 2,074.04 and 652.18

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Solution

The fourth proportional to 1,384.14, 2,074.04 and 652.18 is: 977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.14 : 2,074.04 = 652.18 : x
  2. Step 2: Convert to fraction form
    1,384.14/2,074.04 = 652.18/x
  3. Step 3: Cross multiply
    1,384.14x = 2,074.04 × 652.18
  4. Step 4: Simplify right side
    1,384.14x = 1,352,647.41
  5. Step 5: Solve for x
    x = 1,352,647.41/1,384.14
  6. Step 6: Final answer
    x = 977.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.