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Finding the Fourth Proportional to 1,532.06, 2,298.11 and 436.45

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Solution

The fourth proportional to 1,532.06, 2,298.11 and 436.45 is: 654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.06 : 2,298.11 = 436.45 : x
  2. Step 2: Convert to fraction form
    1,532.06/2,298.11 = 436.45/x
  3. Step 3: Cross multiply
    1,532.06x = 2,298.11 × 436.45
  4. Step 4: Simplify right side
    1,532.06x = 1,003,010.11
  5. Step 5: Solve for x
    x = 1,003,010.11/1,532.06
  6. Step 6: Final answer
    x = 654.68

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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.