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Finding the Fourth Proportional to 907.40, 1,258.64 and 876.32

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Solution

The fourth proportional to 907.40, 1,258.64 and 876.32 is: 1,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.40 : 1,258.64 = 876.32 : x
  2. Step 2: Convert to fraction form
    907.40/1,258.64 = 876.32/x
  3. Step 3: Cross multiply
    907.40x = 1,258.64 × 876.32
  4. Step 4: Simplify right side
    907.40x = 1,102,971.40
  5. Step 5: Solve for x
    x = 1,102,971.40/907.40
  6. Step 6: Final answer
    x = 1,215.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.