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Finding the Fourth Proportional to 736.53, 1,016.19 and 456.77

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Solution

The fourth proportional to 736.53, 1,016.19 and 456.77 is: 630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.53 : 1,016.19 = 456.77 : x
  2. Step 2: Convert to fraction form
    736.53/1,016.19 = 456.77/x
  3. Step 3: Cross multiply
    736.53x = 1,016.19 × 456.77
  4. Step 4: Simplify right side
    736.53x = 464,160.03
  5. Step 5: Solve for x
    x = 464,160.03/736.53
  6. Step 6: Final answer
    x = 630.20

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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.