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Finding the Fourth Proportional to 698.94, 1,048.58 and 288.14

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Solution

The fourth proportional to 698.94, 1,048.58 and 288.14 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.94 : 1,048.58 = 288.14 : x
  2. Step 2: Convert to fraction form
    698.94/1,048.58 = 288.14/x
  3. Step 3: Cross multiply
    698.94x = 1,048.58 × 288.14
  4. Step 4: Simplify right side
    698.94x = 302,137.84
  5. Step 5: Solve for x
    x = 302,137.84/698.94
  6. Step 6: Final answer
    x = 432.28

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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.