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Finding the Fourth Proportional to 1,410.34, 2,114.63 and 532.80

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Solution

The fourth proportional to 1,410.34, 2,114.63 and 532.80 is: 798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.34 : 2,114.63 = 532.80 : x
  2. Step 2: Convert to fraction form
    1,410.34/2,114.63 = 532.80/x
  3. Step 3: Cross multiply
    1,410.34x = 2,114.63 × 532.80
  4. Step 4: Simplify right side
    1,410.34x = 1,126,674.86
  5. Step 5: Solve for x
    x = 1,126,674.86/1,410.34
  6. Step 6: Final answer
    x = 798.87

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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.