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Finding the Fourth Proportional to 1,410.92, 2,116.12 and 533.50

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Solution

The fourth proportional to 1,410.92, 2,116.12 and 533.50 is: 800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.92 : 2,116.12 = 533.50 : x
  2. Step 2: Convert to fraction form
    1,410.92/2,116.12 = 533.50/x
  3. Step 3: Cross multiply
    1,410.92x = 2,116.12 × 533.50
  4. Step 4: Simplify right side
    1,410.92x = 1,128,950.02
  5. Step 5: Solve for x
    x = 1,128,950.02/1,410.92
  6. Step 6: Final answer
    x = 800.15

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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.