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Finding the Fourth Proportional to 1,410.56, 2,114.36 and 532.46

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Solution

The fourth proportional to 1,410.56, 2,114.36 and 532.46 is: 798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.56 : 2,114.36 = 532.46 : x
  2. Step 2: Convert to fraction form
    1,410.56/2,114.36 = 532.46/x
  3. Step 3: Cross multiply
    1,410.56x = 2,114.36 × 532.46
  4. Step 4: Simplify right side
    1,410.56x = 1,125,812.13
  5. Step 5: Solve for x
    x = 1,125,812.13/1,410.56
  6. Step 6: Final answer
    x = 798.13

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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.