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Finding the Fourth Proportional to 1,427.28, 1,968.75 and 930.30

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Solution

The fourth proportional to 1,427.28, 1,968.75 and 930.30 is: 1,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.28 : 1,968.75 = 930.30 : x
  2. Step 2: Convert to fraction form
    1,427.28/1,968.75 = 930.30/x
  3. Step 3: Cross multiply
    1,427.28x = 1,968.75 × 930.30
  4. Step 4: Simplify right side
    1,427.28x = 1,831,528.13
  5. Step 5: Solve for x
    x = 1,831,528.13/1,427.28
  6. Step 6: Final answer
    x = 1,283.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.