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Finding the Fourth Proportional to 1,114.00, 1,537.47 and 666.01

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Solution

The fourth proportional to 1,114.00, 1,537.47 and 666.01 is: 919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.00 : 1,537.47 = 666.01 : x
  2. Step 2: Convert to fraction form
    1,114.00/1,537.47 = 666.01/x
  3. Step 3: Cross multiply
    1,114.00x = 1,537.47 × 666.01
  4. Step 4: Simplify right side
    1,114.00x = 1,023,972.32
  5. Step 5: Solve for x
    x = 1,023,972.32/1,114.00
  6. Step 6: Final answer
    x = 919.19

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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.