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Finding the Fourth Proportional to 1,533.22, 2,300.18 and 493.30

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Solution

The fourth proportional to 1,533.22, 2,300.18 and 493.30 is: 740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.22 : 2,300.18 = 493.30 : x
  2. Step 2: Convert to fraction form
    1,533.22/2,300.18 = 493.30/x
  3. Step 3: Cross multiply
    1,533.22x = 2,300.18 × 493.30
  4. Step 4: Simplify right side
    1,533.22x = 1,134,678.79
  5. Step 5: Solve for x
    x = 1,134,678.79/1,533.22
  6. Step 6: Final answer
    x = 740.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.