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Finding the Fourth Proportional to 1,533.02, 2,298.71 and 558.38

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Solution

The fourth proportional to 1,533.02, 2,298.71 and 558.38 is: 837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.02 : 2,298.71 = 558.38 : x
  2. Step 2: Convert to fraction form
    1,533.02/2,298.71 = 558.38/x
  3. Step 3: Cross multiply
    1,533.02x = 2,298.71 × 558.38
  4. Step 4: Simplify right side
    1,533.02x = 1,283,539.40
  5. Step 5: Solve for x
    x = 1,283,539.40/1,533.02
  6. Step 6: Final answer
    x = 837.26

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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.