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Finding the Fourth Proportional to 1,410.70, 2,116.05 and 384.70

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Solution

The fourth proportional to 1,410.70, 2,116.05 and 384.70 is: 577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.70 : 2,116.05 = 384.70 : x
  2. Step 2: Convert to fraction form
    1,410.70/2,116.05 = 384.70/x
  3. Step 3: Cross multiply
    1,410.70x = 2,116.05 × 384.70
  4. Step 4: Simplify right side
    1,410.70x = 814,044.44
  5. Step 5: Solve for x
    x = 814,044.44/1,410.70
  6. Step 6: Final answer
    x = 577.05

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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.