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Finding the Fourth Proportional to 1,019.77, 1,407.25 and 554.02

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Solution

The fourth proportional to 1,019.77, 1,407.25 and 554.02 is: 764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.77 : 1,407.25 = 554.02 : x
  2. Step 2: Convert to fraction form
    1,019.77/1,407.25 = 554.02/x
  3. Step 3: Cross multiply
    1,019.77x = 1,407.25 × 554.02
  4. Step 4: Simplify right side
    1,019.77x = 779,634.84
  5. Step 5: Solve for x
    x = 779,634.84/1,019.77
  6. Step 6: Final answer
    x = 764.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.