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Finding the Fourth Proportional to 873.58, 1,308.81 and 463.00

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Solution

The fourth proportional to 873.58, 1,308.81 and 463.00 is: 693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.58 : 1,308.81 = 463.00 : x
  2. Step 2: Convert to fraction form
    873.58/1,308.81 = 463.00/x
  3. Step 3: Cross multiply
    873.58x = 1,308.81 × 463.00
  4. Step 4: Simplify right side
    873.58x = 605,972.49
  5. Step 5: Solve for x
    x = 605,972.49/873.58
  6. Step 6: Final answer
    x = 693.67

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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.