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Finding the Fourth Proportional to 876.51, 1,313.05 and 583.14

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Solution

The fourth proportional to 876.51, 1,313.05 and 583.14 is: 873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.51 : 1,313.05 = 583.14 : x
  2. Step 2: Convert to fraction form
    876.51/1,313.05 = 583.14/x
  3. Step 3: Cross multiply
    876.51x = 1,313.05 × 583.14
  4. Step 4: Simplify right side
    876.51x = 765,698.48
  5. Step 5: Solve for x
    x = 765,698.48/876.51
  6. Step 6: Final answer
    x = 873.58

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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.