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Finding the Fourth Proportional to 783.95, 1,081.76 and 452.25

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Solution

The fourth proportional to 783.95, 1,081.76 and 452.25 is: 624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.95 : 1,081.76 = 452.25 : x
  2. Step 2: Convert to fraction form
    783.95/1,081.76 = 452.25/x
  3. Step 3: Cross multiply
    783.95x = 1,081.76 × 452.25
  4. Step 4: Simplify right side
    783.95x = 489,223.70
  5. Step 5: Solve for x
    x = 489,223.70/783.95
  6. Step 6: Final answer
    x = 624.05

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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.