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Finding the Fourth Proportional to 1,055.33, 1,583.52 and 507.98

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Solution

The fourth proportional to 1,055.33, 1,583.52 and 507.98 is: 762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.33 : 1,583.52 = 507.98 : x
  2. Step 2: Convert to fraction form
    1,055.33/1,583.52 = 507.98/x
  3. Step 3: Cross multiply
    1,055.33x = 1,583.52 × 507.98
  4. Step 4: Simplify right side
    1,055.33x = 804,388.57
  5. Step 5: Solve for x
    x = 804,388.57/1,055.33
  6. Step 6: Final answer
    x = 762.21

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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.