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Finding the Fourth Proportional to 783.92, 1,081.68 and 473.42

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Solution

The fourth proportional to 783.92, 1,081.68 and 473.42 is: 653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.92 : 1,081.68 = 473.42 : x
  2. Step 2: Convert to fraction form
    783.92/1,081.68 = 473.42/x
  3. Step 3: Cross multiply
    783.92x = 1,081.68 × 473.42
  4. Step 4: Simplify right side
    783.92x = 512,088.95
  5. Step 5: Solve for x
    x = 512,088.95/783.92
  6. Step 6: Final answer
    x = 653.24

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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.