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Finding the Fourth Proportional to 1,140.86, 1,574.25 and 643.47

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Solution

The fourth proportional to 1,140.86, 1,574.25 and 643.47 is: 887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.86 : 1,574.25 = 643.47 : x
  2. Step 2: Convert to fraction form
    1,140.86/1,574.25 = 643.47/x
  3. Step 3: Cross multiply
    1,140.86x = 1,574.25 × 643.47
  4. Step 4: Simplify right side
    1,140.86x = 1,012,974.33
  5. Step 5: Solve for x
    x = 1,012,974.33/1,140.86
  6. Step 6: Final answer
    x = 887.91

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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.