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Finding the Fourth Proportional to 957.05, 1,320.34 and 584.00

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Solution

The fourth proportional to 957.05, 1,320.34 and 584.00 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.05 : 1,320.34 = 584.00 : x
  2. Step 2: Convert to fraction form
    957.05/1,320.34 = 584.00/x
  3. Step 3: Cross multiply
    957.05x = 1,320.34 × 584.00
  4. Step 4: Simplify right side
    957.05x = 771,069.04
  5. Step 5: Solve for x
    x = 771,069.04/957.05
  6. Step 6: Final answer
    x = 805.68

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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.