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Finding the Fourth Proportional to 746.40, 1,030.24 and 451.69

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Solution

The fourth proportional to 746.40, 1,030.24 and 451.69 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.40 : 1,030.24 = 451.69 : x
  2. Step 2: Convert to fraction form
    746.40/1,030.24 = 451.69/x
  3. Step 3: Cross multiply
    746.40x = 1,030.24 × 451.69
  4. Step 4: Simplify right side
    746.40x = 465,349.11
  5. Step 5: Solve for x
    x = 465,349.11/746.40
  6. Step 6: Final answer
    x = 623.46

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Half scale
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Double scale
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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.