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Finding the Fourth Proportional to 1,278.08, 1,915.84 and 508

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Solution

The fourth proportional to 1,278.08, 1,915.84 and 508 is: 761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.08 : 1,915.84 = 508 : x
  2. Step 2: Convert to fraction form
    1,278.08/1,915.84 = 508/x
  3. Step 3: Cross multiply
    1,278.08x = 1,915.84 × 508
  4. Step 4: Simplify right side
    1,278.08x = 973,246.72
  5. Step 5: Solve for x
    x = 973,246.72/1,278.08
  6. Step 6: Final answer
    x = 761.49

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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.