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Finding the Fourth Proportional to 1,137.90, 1,570.72 and 665.94

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Solution

The fourth proportional to 1,137.90, 1,570.72 and 665.94 is: 919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.90 : 1,570.72 = 665.94 : x
  2. Step 2: Convert to fraction form
    1,137.90/1,570.72 = 665.94/x
  3. Step 3: Cross multiply
    1,137.90x = 1,570.72 × 665.94
  4. Step 4: Simplify right side
    1,137.90x = 1,046,005.28
  5. Step 5: Solve for x
    x = 1,046,005.28/1,137.90
  6. Step 6: Final answer
    x = 919.25

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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.