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Finding the Fourth Proportional to 975.69, 1,460.75 and 907.34

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Solution

The fourth proportional to 975.69, 1,460.75 and 907.34 is: 1,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.69 : 1,460.75 = 907.34 : x
  2. Step 2: Convert to fraction form
    975.69/1,460.75 = 907.34/x
  3. Step 3: Cross multiply
    975.69x = 1,460.75 × 907.34
  4. Step 4: Simplify right side
    975.69x = 1,325,396.02
  5. Step 5: Solve for x
    x = 1,325,396.02/975.69
  6. Step 6: Final answer
    x = 1,358.42

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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.