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Finding the Fourth Proportional to 1,077.60, 1,616.88 and 384.48

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Solution

The fourth proportional to 1,077.60, 1,616.88 and 384.48 is: 576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.60 : 1,616.88 = 384.48 : x
  2. Step 2: Convert to fraction form
    1,077.60/1,616.88 = 384.48/x
  3. Step 3: Cross multiply
    1,077.60x = 1,616.88 × 384.48
  4. Step 4: Simplify right side
    1,077.60x = 621,658.02
  5. Step 5: Solve for x
    x = 621,658.02/1,077.60
  6. Step 6: Final answer
    x = 576.89

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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.