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Finding the Fourth Proportional to 806.40, 1,112.86 and 457.10

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Solution

The fourth proportional to 806.40, 1,112.86 and 457.10 is: 630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.40 : 1,112.86 = 457.10 : x
  2. Step 2: Convert to fraction form
    806.40/1,112.86 = 457.10/x
  3. Step 3: Cross multiply
    806.40x = 1,112.86 × 457.10
  4. Step 4: Simplify right side
    806.40x = 508,688.31
  5. Step 5: Solve for x
    x = 508,688.31/806.40
  6. Step 6: Final answer
    x = 630.81

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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.