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Finding the Fourth Proportional to 1,345.24, 2,017.98 and 523.45

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Solution

The fourth proportional to 1,345.24, 2,017.98 and 523.45 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.24 : 2,017.98 = 523.45 : x
  2. Step 2: Convert to fraction form
    1,345.24/2,017.98 = 523.45/x
  3. Step 3: Cross multiply
    1,345.24x = 2,017.98 × 523.45
  4. Step 4: Simplify right side
    1,345.24x = 1,056,311.63
  5. Step 5: Solve for x
    x = 1,056,311.63/1,345.24
  6. Step 6: Final answer
    x = 785.22

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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.