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Finding the Fourth Proportional to 1,264.60, 1,896 and 533.98

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Solution

The fourth proportional to 1,264.60, 1,896 and 533.98 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.60 : 1,896 = 533.98 : x
  2. Step 2: Convert to fraction form
    1,264.60/1,896 = 533.98/x
  3. Step 3: Cross multiply
    1,264.60x = 1,896 × 533.98
  4. Step 4: Simplify right side
    1,264.60x = 1,012,426.08
  5. Step 5: Solve for x
    x = 1,012,426.08/1,264.60
  6. Step 6: Final answer
    x = 800.59

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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.