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Finding the Fourth Proportional to 1,285.84, 1,929 and 420.16

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Solution

The fourth proportional to 1,285.84, 1,929 and 420.16 is: 630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.84 : 1,929 = 420.16 : x
  2. Step 2: Convert to fraction form
    1,285.84/1,929 = 420.16/x
  3. Step 3: Cross multiply
    1,285.84x = 1,929 × 420.16
  4. Step 4: Simplify right side
    1,285.84x = 810,488.64
  5. Step 5: Solve for x
    x = 810,488.64/1,285.84
  6. Step 6: Final answer
    x = 630.32

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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.