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Finding the Fourth Proportional to 641.66, 957.84 and 563.81

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Solution

The fourth proportional to 641.66, 957.84 and 563.81 is: 841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.66 : 957.84 = 563.81 : x
  2. Step 2: Convert to fraction form
    641.66/957.84 = 563.81/x
  3. Step 3: Cross multiply
    641.66x = 957.84 × 563.81
  4. Step 4: Simplify right side
    641.66x = 540,041.14
  5. Step 5: Solve for x
    x = 540,041.14/641.66
  6. Step 6: Final answer
    x = 841.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.