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Finding the Fourth Proportional to 1,025.60, 1,415.22 and 600.16

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Solution

The fourth proportional to 1,025.60, 1,415.22 and 600.16 is: 828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.60 : 1,415.22 = 600.16 : x
  2. Step 2: Convert to fraction form
    1,025.60/1,415.22 = 600.16/x
  3. Step 3: Cross multiply
    1,025.60x = 1,415.22 × 600.16
  4. Step 4: Simplify right side
    1,025.60x = 849,358.44
  5. Step 5: Solve for x
    x = 849,358.44/1,025.60
  6. Step 6: Final answer
    x = 828.16

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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.