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Finding the Fourth Proportional to 850.15, 1,275.36 and 525.07

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Solution

The fourth proportional to 850.15, 1,275.36 and 525.07 is: 787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.15 : 1,275.36 = 525.07 : x
  2. Step 2: Convert to fraction form
    850.15/1,275.36 = 525.07/x
  3. Step 3: Cross multiply
    850.15x = 1,275.36 × 525.07
  4. Step 4: Simplify right side
    850.15x = 669,653.28
  5. Step 5: Solve for x
    x = 669,653.28/850.15
  6. Step 6: Final answer
    x = 787.69

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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.