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Finding the Fourth Proportional to 1,652.00, 2,477.45 and 556.09

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Solution

The fourth proportional to 1,652.00, 2,477.45 and 556.09 is: 833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.00 : 2,477.45 = 556.09 : x
  2. Step 2: Convert to fraction form
    1,652.00/2,477.45 = 556.09/x
  3. Step 3: Cross multiply
    1,652.00x = 2,477.45 × 556.09
  4. Step 4: Simplify right side
    1,652.00x = 1,377,681.38
  5. Step 5: Solve for x
    x = 1,377,681.38/1,652.00
  6. Step 6: Final answer
    x = 833.95

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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.