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Finding the Fourth Proportional to 637.62, 957.09 and 564.95

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Solution

The fourth proportional to 637.62, 957.09 and 564.95 is: 848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.62 : 957.09 = 564.95 : x
  2. Step 2: Convert to fraction form
    637.62/957.09 = 564.95/x
  3. Step 3: Cross multiply
    637.62x = 957.09 × 564.95
  4. Step 4: Simplify right side
    637.62x = 540,703.21
  5. Step 5: Solve for x
    x = 540,703.21/637.62
  6. Step 6: Final answer
    x = 848.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.