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Finding the Fourth Proportional to 783.16, 1,080.76 and 451.61

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Solution

The fourth proportional to 783.16, 1,080.76 and 451.61 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.16 : 1,080.76 = 451.61 : x
  2. Step 2: Convert to fraction form
    783.16/1,080.76 = 451.61/x
  3. Step 3: Cross multiply
    783.16x = 1,080.76 × 451.61
  4. Step 4: Simplify right side
    783.16x = 488,082.02
  5. Step 5: Solve for x
    x = 488,082.02/783.16
  6. Step 6: Final answer
    x = 623.22

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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.