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Finding the Fourth Proportional to 741.25, 1,022.93 and 465.25

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Solution

The fourth proportional to 741.25, 1,022.93 and 465.25 is: 642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.25 : 1,022.93 = 465.25 : x
  2. Step 2: Convert to fraction form
    741.25/1,022.93 = 465.25/x
  3. Step 3: Cross multiply
    741.25x = 1,022.93 × 465.25
  4. Step 4: Simplify right side
    741.25x = 475,915.86
  5. Step 5: Solve for x
    x = 475,915.86/741.25
  6. Step 6: Final answer
    x = 642.05

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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.