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Finding the Fourth Proportional to 973.72, 1,461.24 and 425.59

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Solution

The fourth proportional to 973.72, 1,461.24 and 425.59 is: 638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.72 : 1,461.24 = 425.59 : x
  2. Step 2: Convert to fraction form
    973.72/1,461.24 = 425.59/x
  3. Step 3: Cross multiply
    973.72x = 1,461.24 × 425.59
  4. Step 4: Simplify right side
    973.72x = 621,889.13
  5. Step 5: Solve for x
    x = 621,889.13/973.72
  6. Step 6: Final answer
    x = 638.67

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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.