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Finding the Fourth Proportional to 785.69, 1,084.55 and 524.46

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Solution

The fourth proportional to 785.69, 1,084.55 and 524.46 is: 723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.69 : 1,084.55 = 524.46 : x
  2. Step 2: Convert to fraction form
    785.69/1,084.55 = 524.46/x
  3. Step 3: Cross multiply
    785.69x = 1,084.55 × 524.46
  4. Step 4: Simplify right side
    785.69x = 568,803.09
  5. Step 5: Solve for x
    x = 568,803.09/785.69
  6. Step 6: Final answer
    x = 723.95

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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.