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Finding the Fourth Proportional to 1,303.67, 1,955.48 and 523.87

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Solution

The fourth proportional to 1,303.67, 1,955.48 and 523.87 is: 785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.67 : 1,955.48 = 523.87 : x
  2. Step 2: Convert to fraction form
    1,303.67/1,955.48 = 523.87/x
  3. Step 3: Cross multiply
    1,303.67x = 1,955.48 × 523.87
  4. Step 4: Simplify right side
    1,303.67x = 1,024,407.53
  5. Step 5: Solve for x
    x = 1,024,407.53/1,303.67
  6. Step 6: Final answer
    x = 785.79

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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.