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Finding the Fourth Proportional to 1,148.98, 1,723.65 and 533.32

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Solution

The fourth proportional to 1,148.98, 1,723.65 and 533.32 is: 800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.98 : 1,723.65 = 533.32 : x
  2. Step 2: Convert to fraction form
    1,148.98/1,723.65 = 533.32/x
  3. Step 3: Cross multiply
    1,148.98x = 1,723.65 × 533.32
  4. Step 4: Simplify right side
    1,148.98x = 919,257.02
  5. Step 5: Solve for x
    x = 919,257.02/1,148.98
  6. Step 6: Final answer
    x = 800.06

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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.