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Finding the Fourth Proportional to 699.07, 1,048.59 and 288.24

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Solution

The fourth proportional to 699.07, 1,048.59 and 288.24 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.07 : 1,048.59 = 288.24 : x
  2. Step 2: Convert to fraction form
    699.07/1,048.59 = 288.24/x
  3. Step 3: Cross multiply
    699.07x = 1,048.59 × 288.24
  4. Step 4: Simplify right side
    699.07x = 302,245.58
  5. Step 5: Solve for x
    x = 302,245.58/699.07
  6. Step 6: Final answer
    x = 432.35

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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.