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Finding the Fourth Proportional to 1,653.52, 2,480.40 and 558.16

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Solution

The fourth proportional to 1,653.52, 2,480.40 and 558.16 is: 837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.52 : 2,480.40 = 558.16 : x
  2. Step 2: Convert to fraction form
    1,653.52/2,480.40 = 558.16/x
  3. Step 3: Cross multiply
    1,653.52x = 2,480.40 × 558.16
  4. Step 4: Simplify right side
    1,653.52x = 1,384,460.06
  5. Step 5: Solve for x
    x = 1,384,460.06/1,653.52
  6. Step 6: Final answer
    x = 837.28

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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.