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Finding the Fourth Proportional to 973.02, 1,459.99 and 857.30

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Solution

The fourth proportional to 973.02, 1,459.99 and 857.30 is: 1,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.02 : 1,459.99 = 857.30 : x
  2. Step 2: Convert to fraction form
    973.02/1,459.99 = 857.30/x
  3. Step 3: Cross multiply
    973.02x = 1,459.99 × 857.30
  4. Step 4: Simplify right side
    973.02x = 1,251,649.43
  5. Step 5: Solve for x
    x = 1,251,649.43/973.02
  6. Step 6: Final answer
    x = 1,286.36

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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.