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Finding the Fourth Proportional to 1,127.37, 1,690.01 and 578.34

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Solution

The fourth proportional to 1,127.37, 1,690.01 and 578.34 is: 866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.37 : 1,690.01 = 578.34 : x
  2. Step 2: Convert to fraction form
    1,127.37/1,690.01 = 578.34/x
  3. Step 3: Cross multiply
    1,127.37x = 1,690.01 × 578.34
  4. Step 4: Simplify right side
    1,127.37x = 977,400.38
  5. Step 5: Solve for x
    x = 977,400.38/1,127.37
  6. Step 6: Final answer
    x = 866.97

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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.