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Finding the Fourth Proportional to 957.40, 1,320.90 and 564.40

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Solution

The fourth proportional to 957.40, 1,320.90 and 564.40 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.40 : 1,320.90 = 564.40 : x
  2. Step 2: Convert to fraction form
    957.40/1,320.90 = 564.40/x
  3. Step 3: Cross multiply
    957.40x = 1,320.90 × 564.40
  4. Step 4: Simplify right side
    957.40x = 745,515.96
  5. Step 5: Solve for x
    x = 745,515.96/957.40
  6. Step 6: Final answer
    x = 778.69

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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.