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Finding the Fourth Proportional to 1,532.19, 2,298.54 and 558.09

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Solution

The fourth proportional to 1,532.19, 2,298.54 and 558.09 is: 837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.19 : 2,298.54 = 558.09 : x
  2. Step 2: Convert to fraction form
    1,532.19/2,298.54 = 558.09/x
  3. Step 3: Cross multiply
    1,532.19x = 2,298.54 × 558.09
  4. Step 4: Simplify right side
    1,532.19x = 1,282,792.19
  5. Step 5: Solve for x
    x = 1,282,792.19/1,532.19
  6. Step 6: Final answer
    x = 837.23

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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.