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Finding the Fourth Proportional to 740.96, 1,022.24 and 446.12

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Solution

The fourth proportional to 740.96, 1,022.24 and 446.12 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.96 : 1,022.24 = 446.12 : x
  2. Step 2: Convert to fraction form
    740.96/1,022.24 = 446.12/x
  3. Step 3: Cross multiply
    740.96x = 1,022.24 × 446.12
  4. Step 4: Simplify right side
    740.96x = 456,041.71
  5. Step 5: Solve for x
    x = 456,041.71/740.96
  6. Step 6: Final answer
    x = 615.47

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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.