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Finding the Fourth Proportional to 783.46, 1,081.59 and 500.16

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Solution

The fourth proportional to 783.46, 1,081.59 and 500.16 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.46 : 1,081.59 = 500.16 : x
  2. Step 2: Convert to fraction form
    783.46/1,081.59 = 500.16/x
  3. Step 3: Cross multiply
    783.46x = 1,081.59 × 500.16
  4. Step 4: Simplify right side
    783.46x = 540,968.05
  5. Step 5: Solve for x
    x = 540,968.05/783.46
  6. Step 6: Final answer
    x = 690.49

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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.