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Finding the Fourth Proportional to 973.47, 1,458.84 and 486.03

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Solution

The fourth proportional to 973.47, 1,458.84 and 486.03 is: 728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.47 : 1,458.84 = 486.03 : x
  2. Step 2: Convert to fraction form
    973.47/1,458.84 = 486.03/x
  3. Step 3: Cross multiply
    973.47x = 1,458.84 × 486.03
  4. Step 4: Simplify right side
    973.47x = 709,040.01
  5. Step 5: Solve for x
    x = 709,040.01/973.47
  6. Step 6: Final answer
    x = 728.36

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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.