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Finding the Fourth Proportional to 699.13, 1,048.02 and 288.01

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Solution

The fourth proportional to 699.13, 1,048.02 and 288.01 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.13 : 1,048.02 = 288.01 : x
  2. Step 2: Convert to fraction form
    699.13/1,048.02 = 288.01/x
  3. Step 3: Cross multiply
    699.13x = 1,048.02 × 288.01
  4. Step 4: Simplify right side
    699.13x = 301,840.24
  5. Step 5: Solve for x
    x = 301,840.24/699.13
  6. Step 6: Final answer
    x = 431.74

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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.