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Finding the Fourth Proportional to 1,264.47, 1,895.48 and 483.87

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Solution

The fourth proportional to 1,264.47, 1,895.48 and 483.87 is: 725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.47 : 1,895.48 = 483.87 : x
  2. Step 2: Convert to fraction form
    1,264.47/1,895.48 = 483.87/x
  3. Step 3: Cross multiply
    1,264.47x = 1,895.48 × 483.87
  4. Step 4: Simplify right side
    1,264.47x = 917,165.91
  5. Step 5: Solve for x
    x = 917,165.91/1,264.47
  6. Step 6: Final answer
    x = 725.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.