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Finding the Fourth Proportional to 1,384.84, 2,075.50 and 652.83

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Solution

The fourth proportional to 1,384.84, 2,075.50 and 652.83 is: 978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.84 : 2,075.50 = 652.83 : x
  2. Step 2: Convert to fraction form
    1,384.84/2,075.50 = 652.83/x
  3. Step 3: Cross multiply
    1,384.84x = 2,075.50 × 652.83
  4. Step 4: Simplify right side
    1,384.84x = 1,354,948.67
  5. Step 5: Solve for x
    x = 1,354,948.67/1,384.84
  6. Step 6: Final answer
    x = 978.42

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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.