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Finding the Fourth Proportional to 1,254.06, 1,880.75 and 474.03

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Solution

The fourth proportional to 1,254.06, 1,880.75 and 474.03 is: 710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.06 : 1,880.75 = 474.03 : x
  2. Step 2: Convert to fraction form
    1,254.06/1,880.75 = 474.03/x
  3. Step 3: Cross multiply
    1,254.06x = 1,880.75 × 474.03
  4. Step 4: Simplify right side
    1,254.06x = 891,533.11
  5. Step 5: Solve for x
    x = 891,533.11/1,254.06
  6. Step 6: Final answer
    x = 710.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.