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Finding the Fourth Proportional to 1,017.72, 1,404.67 and 619.51

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Solution

The fourth proportional to 1,017.72, 1,404.67 and 619.51 is: 855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.72 : 1,404.67 = 619.51 : x
  2. Step 2: Convert to fraction form
    1,017.72/1,404.67 = 619.51/x
  3. Step 3: Cross multiply
    1,017.72x = 1,404.67 × 619.51
  4. Step 4: Simplify right side
    1,017.72x = 870,207.01
  5. Step 5: Solve for x
    x = 870,207.01/1,017.72
  6. Step 6: Final answer
    x = 855.06

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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.