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Finding the Fourth Proportional to 1,384.29, 2,075.58 and 654.12

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Solution

The fourth proportional to 1,384.29, 2,075.58 and 654.12 is: 980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.29 : 2,075.58 = 654.12 : x
  2. Step 2: Convert to fraction form
    1,384.29/2,075.58 = 654.12/x
  3. Step 3: Cross multiply
    1,384.29x = 2,075.58 × 654.12
  4. Step 4: Simplify right side
    1,384.29x = 1,357,678.39
  5. Step 5: Solve for x
    x = 1,357,678.39/1,384.29
  6. Step 6: Final answer
    x = 980.78

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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.