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Finding the Fourth Proportional to 973.05, 1,459.62 and 424.98

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Solution

The fourth proportional to 973.05, 1,459.62 and 424.98 is: 637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.05 : 1,459.62 = 424.98 : x
  2. Step 2: Convert to fraction form
    973.05/1,459.62 = 424.98/x
  3. Step 3: Cross multiply
    973.05x = 1,459.62 × 424.98
  4. Step 4: Simplify right side
    973.05x = 620,309.31
  5. Step 5: Solve for x
    x = 620,309.31/973.05
  6. Step 6: Final answer
    x = 637.49

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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.