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Finding the Fourth Proportional to 1,129.02, 1,558.80 and 709.53

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Solution

The fourth proportional to 1,129.02, 1,558.80 and 709.53 is: 979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.02 : 1,558.80 = 709.53 : x
  2. Step 2: Convert to fraction form
    1,129.02/1,558.80 = 709.53/x
  3. Step 3: Cross multiply
    1,129.02x = 1,558.80 × 709.53
  4. Step 4: Simplify right side
    1,129.02x = 1,106,015.36
  5. Step 5: Solve for x
    x = 1,106,015.36/1,129.02
  6. Step 6: Final answer
    x = 979.62

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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.