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Finding the Fourth Proportional to 1,142.71, 1,577.01 and 670.62

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Solution

The fourth proportional to 1,142.71, 1,577.01 and 670.62 is: 925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.71 : 1,577.01 = 670.62 : x
  2. Step 2: Convert to fraction form
    1,142.71/1,577.01 = 670.62/x
  3. Step 3: Cross multiply
    1,142.71x = 1,577.01 × 670.62
  4. Step 4: Simplify right side
    1,142.71x = 1,057,574.45
  5. Step 5: Solve for x
    x = 1,057,574.45/1,142.71
  6. Step 6: Final answer
    x = 925.50

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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.