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Finding the Fourth Proportional to 1,303.91, 1,953.91 and 523.14

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Solution

The fourth proportional to 1,303.91, 1,953.91 and 523.14 is: 783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.91 : 1,953.91 = 523.14 : x
  2. Step 2: Convert to fraction form
    1,303.91/1,953.91 = 523.14/x
  3. Step 3: Cross multiply
    1,303.91x = 1,953.91 × 523.14
  4. Step 4: Simplify right side
    1,303.91x = 1,022,168.48
  5. Step 5: Solve for x
    x = 1,022,168.48/1,303.91
  6. Step 6: Final answer
    x = 783.93

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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.