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Finding the Fourth Proportional to 1,264.02, 1,895.88 and 339.64

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Solution

The fourth proportional to 1,264.02, 1,895.88 and 339.64 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.02 : 1,895.88 = 339.64 : x
  2. Step 2: Convert to fraction form
    1,264.02/1,895.88 = 339.64/x
  3. Step 3: Cross multiply
    1,264.02x = 1,895.88 × 339.64
  4. Step 4: Simplify right side
    1,264.02x = 643,916.68
  5. Step 5: Solve for x
    x = 643,916.68/1,264.02
  6. Step 6: Final answer
    x = 509.42

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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.