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Finding the Fourth Proportional to 1,025.23, 1,415.99 and 746.71

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Solution

The fourth proportional to 1,025.23, 1,415.99 and 746.71 is: 1,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.23 : 1,415.99 = 746.71 : x
  2. Step 2: Convert to fraction form
    1,025.23/1,415.99 = 746.71/x
  3. Step 3: Cross multiply
    1,025.23x = 1,415.99 × 746.71
  4. Step 4: Simplify right side
    1,025.23x = 1,057,333.62
  5. Step 5: Solve for x
    x = 1,057,333.62/1,025.23
  6. Step 6: Final answer
    x = 1,031.32

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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.