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Finding the Fourth Proportional to 1,068.37, 1,602.42 and 288.43

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Solution

The fourth proportional to 1,068.37, 1,602.42 and 288.43 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.37 : 1,602.42 = 288.43 : x
  2. Step 2: Convert to fraction form
    1,068.37/1,602.42 = 288.43/x
  3. Step 3: Cross multiply
    1,068.37x = 1,602.42 × 288.43
  4. Step 4: Simplify right side
    1,068.37x = 462,186.00
  5. Step 5: Solve for x
    x = 462,186.00/1,068.37
  6. Step 6: Final answer
    x = 432.61

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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.