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Finding the Fourth Proportional to 1,303.77, 1,955.96 and 426.31

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Solution

The fourth proportional to 1,303.77, 1,955.96 and 426.31 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.77 : 1,955.96 = 426.31 : x
  2. Step 2: Convert to fraction form
    1,303.77/1,955.96 = 426.31/x
  3. Step 3: Cross multiply
    1,303.77x = 1,955.96 × 426.31
  4. Step 4: Simplify right side
    1,303.77x = 833,841.48
  5. Step 5: Solve for x
    x = 833,841.48/1,303.77
  6. Step 6: Final answer
    x = 639.56

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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.