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Finding the Fourth Proportional to 952.94, 1,428.60 and 907.58

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Solution

The fourth proportional to 952.94, 1,428.60 and 907.58 is: 1,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.94 : 1,428.60 = 907.58 : x
  2. Step 2: Convert to fraction form
    952.94/1,428.60 = 907.58/x
  3. Step 3: Cross multiply
    952.94x = 1,428.60 × 907.58
  4. Step 4: Simplify right side
    952.94x = 1,296,568.79
  5. Step 5: Solve for x
    x = 1,296,568.79/952.94
  6. Step 6: Final answer
    x = 1,360.60

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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.