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Finding the Fourth Proportional to 957.24, 1,320.66 and 564.18

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Solution

The fourth proportional to 957.24, 1,320.66 and 564.18 is: 778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.24 : 1,320.66 = 564.18 : x
  2. Step 2: Convert to fraction form
    957.24/1,320.66 = 564.18/x
  3. Step 3: Cross multiply
    957.24x = 1,320.66 × 564.18
  4. Step 4: Simplify right side
    957.24x = 745,089.96
  5. Step 5: Solve for x
    x = 745,089.96/957.24
  6. Step 6: Final answer
    x = 778.37

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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.