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Finding the Fourth Proportional to 1,142.03, 1,710.33 and 654.14

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Solution

The fourth proportional to 1,142.03, 1,710.33 and 654.14 is: 979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.03 : 1,710.33 = 654.14 : x
  2. Step 2: Convert to fraction form
    1,142.03/1,710.33 = 654.14/x
  3. Step 3: Cross multiply
    1,142.03x = 1,710.33 × 654.14
  4. Step 4: Simplify right side
    1,142.03x = 1,118,786.71
  5. Step 5: Solve for x
    x = 1,118,786.71/1,142.03
  6. Step 6: Final answer
    x = 979.65

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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.