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Finding the Fourth Proportional to 957.06, 1,435.62 and 340.54

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Solution

The fourth proportional to 957.06, 1,435.62 and 340.54 is: 510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.06 : 1,435.62 = 340.54 : x
  2. Step 2: Convert to fraction form
    957.06/1,435.62 = 340.54/x
  3. Step 3: Cross multiply
    957.06x = 1,435.62 × 340.54
  4. Step 4: Simplify right side
    957.06x = 488,883.72
  5. Step 5: Solve for x
    x = 488,883.72/957.06
  6. Step 6: Final answer
    x = 510.82

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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.