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Finding the Fourth Proportional to 1,530.64, 2,296.23 and 664.93

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Solution

The fourth proportional to 1,530.64, 2,296.23 and 664.93 is: 997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.64 : 2,296.23 = 664.93 : x
  2. Step 2: Convert to fraction form
    1,530.64/2,296.23 = 664.93/x
  3. Step 3: Cross multiply
    1,530.64x = 2,296.23 × 664.93
  4. Step 4: Simplify right side
    1,530.64x = 1,526,832.21
  5. Step 5: Solve for x
    x = 1,526,832.21/1,530.64
  6. Step 6: Final answer
    x = 997.51

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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.