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Finding the Fourth Proportional to 1,532.03, 2,298.06 and 436.42

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Solution

The fourth proportional to 1,532.03, 2,298.06 and 436.42 is: 654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.03 : 2,298.06 = 436.42 : x
  2. Step 2: Convert to fraction form
    1,532.03/2,298.06 = 436.42/x
  3. Step 3: Cross multiply
    1,532.03x = 2,298.06 × 436.42
  4. Step 4: Simplify right side
    1,532.03x = 1,002,922.22
  5. Step 5: Solve for x
    x = 1,002,922.22/1,532.03
  6. Step 6: Final answer
    x = 654.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.