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Finding the Fourth Proportional to 1,178.48, 1,627.24 and 1,125.60

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Solution

The fourth proportional to 1,178.48, 1,627.24 and 1,125.60 is: 1,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.48 : 1,627.24 = 1,125.60 : x
  2. Step 2: Convert to fraction form
    1,178.48/1,627.24 = 1,125.60/x
  3. Step 3: Cross multiply
    1,178.48x = 1,627.24 × 1,125.60
  4. Step 4: Simplify right side
    1,178.48x = 1,831,621.34
  5. Step 5: Solve for x
    x = 1,831,621.34/1,178.48
  6. Step 6: Final answer
    x = 1,554.22

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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.