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Finding the Fourth Proportional to 876.40, 1,314.86 and 465.48

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Solution

The fourth proportional to 876.40, 1,314.86 and 465.48 is: 698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,314.86 = 465.48 : x
  2. Step 2: Convert to fraction form
    876.40/1,314.86 = 465.48/x
  3. Step 3: Cross multiply
    876.40x = 1,314.86 × 465.48
  4. Step 4: Simplify right side
    876.40x = 612,038.71
  5. Step 5: Solve for x
    x = 612,038.71/876.40
  6. Step 6: Final answer
    x = 698.36

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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.