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Finding the Fourth Proportional to 783.84, 1,081.70 and 434.53

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Solution

The fourth proportional to 783.84, 1,081.70 and 434.53 is: 599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,081.70 = 434.53 : x
  2. Step 2: Convert to fraction form
    783.84/1,081.70 = 434.53/x
  3. Step 3: Cross multiply
    783.84x = 1,081.70 × 434.53
  4. Step 4: Simplify right side
    783.84x = 470,034.35
  5. Step 5: Solve for x
    x = 470,034.35/783.84
  6. Step 6: Final answer
    x = 599.65

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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.