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Finding the Fourth Proportional to 973.08, 1,459.08 and 509.72

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Solution

The fourth proportional to 973.08, 1,459.08 and 509.72 is: 764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.08 : 1,459.08 = 509.72 : x
  2. Step 2: Convert to fraction form
    973.08/1,459.08 = 509.72/x
  3. Step 3: Cross multiply
    973.08x = 1,459.08 × 509.72
  4. Step 4: Simplify right side
    973.08x = 743,722.26
  5. Step 5: Solve for x
    x = 743,722.26/973.08
  6. Step 6: Final answer
    x = 764.30

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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.