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Finding the Fourth Proportional to 699.25, 1,048.83 and 288.28

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Solution

The fourth proportional to 699.25, 1,048.83 and 288.28 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.25 : 1,048.83 = 288.28 : x
  2. Step 2: Convert to fraction form
    699.25/1,048.83 = 288.28/x
  3. Step 3: Cross multiply
    699.25x = 1,048.83 × 288.28
  4. Step 4: Simplify right side
    699.25x = 302,356.71
  5. Step 5: Solve for x
    x = 302,356.71/699.25
  6. Step 6: Final answer
    x = 432.40

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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.