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Finding the Fourth Proportional to 1,065.22, 1,598.03 and 334.60

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Solution

The fourth proportional to 1,065.22, 1,598.03 and 334.60 is: 501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.22 : 1,598.03 = 334.60 : x
  2. Step 2: Convert to fraction form
    1,065.22/1,598.03 = 334.60/x
  3. Step 3: Cross multiply
    1,065.22x = 1,598.03 × 334.60
  4. Step 4: Simplify right side
    1,065.22x = 534,696.42
  5. Step 5: Solve for x
    x = 534,696.42/1,065.22
  6. Step 6: Final answer
    x = 501.96

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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.