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Finding the Fourth Proportional to 1,477.07, 2,037.96 and 839.00

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Solution

The fourth proportional to 1,477.07, 2,037.96 and 839.00 is: 1,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.07 : 2,037.96 = 839.00 : x
  2. Step 2: Convert to fraction form
    1,477.07/2,037.96 = 839.00/x
  3. Step 3: Cross multiply
    1,477.07x = 2,037.96 × 839.00
  4. Step 4: Simplify right side
    1,477.07x = 1,709,853.53
  5. Step 5: Solve for x
    x = 1,709,853.53/1,477.07
  6. Step 6: Final answer
    x = 1,157.60

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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.