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Finding the Fourth Proportional to 1,276.92, 1,915.92 and 507.36

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Solution

The fourth proportional to 1,276.92, 1,915.92 and 507.36 is: 761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.92 : 1,915.92 = 507.36 : x
  2. Step 2: Convert to fraction form
    1,276.92/1,915.92 = 507.36/x
  3. Step 3: Cross multiply
    1,276.92x = 1,915.92 × 507.36
  4. Step 4: Simplify right side
    1,276.92x = 972,061.17
  5. Step 5: Solve for x
    x = 972,061.17/1,276.92
  6. Step 6: Final answer
    x = 761.25

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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.