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Finding the Fourth Proportional to 699.95, 1,049.00 and 288.51

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Solution

The fourth proportional to 699.95, 1,049.00 and 288.51 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.95 : 1,049.00 = 288.51 : x
  2. Step 2: Convert to fraction form
    699.95/1,049.00 = 288.51/x
  3. Step 3: Cross multiply
    699.95x = 1,049.00 × 288.51
  4. Step 4: Simplify right side
    699.95x = 302,645.55
  5. Step 5: Solve for x
    x = 302,645.55/699.95
  6. Step 6: Final answer
    x = 432.38

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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.