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Finding the Fourth Proportional to 1,143.20, 1,602.10 and 1,143.20

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Solution

The fourth proportional to 1,143.20, 1,602.10 and 1,143.20 is: 1,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.20 : 1,602.10 = 1,143.20 : x
  2. Step 2: Convert to fraction form
    1,143.20/1,602.10 = 1,143.20/x
  3. Step 3: Cross multiply
    1,143.20x = 1,602.10 × 1,143.20
  4. Step 4: Simplify right side
    1,143.20x = 1,831,520.72
  5. Step 5: Solve for x
    x = 1,831,520.72/1,143.20
  6. Step 6: Final answer
    x = 1,602.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.