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Finding the Fourth Proportional to 973.26, 1,458.68 and 424.80

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Solution

The fourth proportional to 973.26, 1,458.68 and 424.80 is: 636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.26 : 1,458.68 = 424.80 : x
  2. Step 2: Convert to fraction form
    973.26/1,458.68 = 424.80/x
  3. Step 3: Cross multiply
    973.26x = 1,458.68 × 424.80
  4. Step 4: Simplify right side
    973.26x = 619,645.14
  5. Step 5: Solve for x
    x = 619,645.14/973.26
  6. Step 6: Final answer
    x = 636.67

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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.