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Finding the Fourth Proportional to 1,532.33, 2,298.15 and 436.67

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Solution

The fourth proportional to 1,532.33, 2,298.15 and 436.67 is: 654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.33 : 2,298.15 = 436.67 : x
  2. Step 2: Convert to fraction form
    1,532.33/2,298.15 = 436.67/x
  3. Step 3: Cross multiply
    1,532.33x = 2,298.15 × 436.67
  4. Step 4: Simplify right side
    1,532.33x = 1,003,533.16
  5. Step 5: Solve for x
    x = 1,003,533.16/1,532.33
  6. Step 6: Final answer
    x = 654.91

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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.