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Finding the Fourth Proportional to 973.01, 1,460.17 and 643.24

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Solution

The fourth proportional to 973.01, 1,460.17 and 643.24 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.01 : 1,460.17 = 643.24 : x
  2. Step 2: Convert to fraction form
    973.01/1,460.17 = 643.24/x
  3. Step 3: Cross multiply
    973.01x = 1,460.17 × 643.24
  4. Step 4: Simplify right side
    973.01x = 939,237.71
  5. Step 5: Solve for x
    x = 939,237.71/973.01
  6. Step 6: Final answer
    x = 965.29

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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.