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Finding the Fourth Proportional to 1,055.77, 1,583.66 and 508.08

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Solution

The fourth proportional to 1,055.77, 1,583.66 and 508.08 is: 762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.77 : 1,583.66 = 508.08 : x
  2. Step 2: Convert to fraction form
    1,055.77/1,583.66 = 508.08/x
  3. Step 3: Cross multiply
    1,055.77x = 1,583.66 × 508.08
  4. Step 4: Simplify right side
    1,055.77x = 804,625.97
  5. Step 5: Solve for x
    x = 804,625.97/1,055.77
  6. Step 6: Final answer
    x = 762.12

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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.