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Finding the Fourth Proportional to 1,533.20, 2,298.51 and 666.86

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Solution

The fourth proportional to 1,533.20, 2,298.51 and 666.86 is: 999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.20 : 2,298.51 = 666.86 : x
  2. Step 2: Convert to fraction form
    1,533.20/2,298.51 = 666.86/x
  3. Step 3: Cross multiply
    1,533.20x = 2,298.51 × 666.86
  4. Step 4: Simplify right side
    1,533.20x = 1,532,784.38
  5. Step 5: Solve for x
    x = 1,532,784.38/1,533.20
  6. Step 6: Final answer
    x = 999.73

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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.