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Finding the Fourth Proportional to 957.10, 1,320.75 and 607.90

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Solution

The fourth proportional to 957.10, 1,320.75 and 607.90 is: 838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.10 : 1,320.75 = 607.90 : x
  2. Step 2: Convert to fraction form
    957.10/1,320.75 = 607.90/x
  3. Step 3: Cross multiply
    957.10x = 1,320.75 × 607.90
  4. Step 4: Simplify right side
    957.10x = 802,883.93
  5. Step 5: Solve for x
    x = 802,883.93/957.10
  6. Step 6: Final answer
    x = 838.87

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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.