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Finding the Fourth Proportional to 1,019.91, 1,407.47 and 554.16

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Solution

The fourth proportional to 1,019.91, 1,407.47 and 554.16 is: 764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.91 : 1,407.47 = 554.16 : x
  2. Step 2: Convert to fraction form
    1,019.91/1,407.47 = 554.16/x
  3. Step 3: Cross multiply
    1,019.91x = 1,407.47 × 554.16
  4. Step 4: Simplify right side
    1,019.91x = 779,959.68
  5. Step 5: Solve for x
    x = 779,959.68/1,019.91
  6. Step 6: Final answer
    x = 764.74

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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.