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Finding the Fourth Proportional to 783.56, 1,081.06 and 451.94

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Solution

The fourth proportional to 783.56, 1,081.06 and 451.94 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.56 : 1,081.06 = 451.94 : x
  2. Step 2: Convert to fraction form
    783.56/1,081.06 = 451.94/x
  3. Step 3: Cross multiply
    783.56x = 1,081.06 × 451.94
  4. Step 4: Simplify right side
    783.56x = 488,567.72
  5. Step 5: Solve for x
    x = 488,567.72/783.56
  6. Step 6: Final answer
    x = 623.53

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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.