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Finding the Fourth Proportional to 1,130.47, 1,558.72 and 906.23

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Solution

The fourth proportional to 1,130.47, 1,558.72 and 906.23 is: 1,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.47 : 1,558.72 = 906.23 : x
  2. Step 2: Convert to fraction form
    1,130.47/1,558.72 = 906.23/x
  3. Step 3: Cross multiply
    1,130.47x = 1,558.72 × 906.23
  4. Step 4: Simplify right side
    1,130.47x = 1,412,551.03
  5. Step 5: Solve for x
    x = 1,412,551.03/1,130.47
  6. Step 6: Final answer
    x = 1,249.53

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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.