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Finding the Fourth Proportional to 670.30, 1,011.44 and 644.99

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Solution

The fourth proportional to 670.30, 1,011.44 and 644.99 is: 973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.30 : 1,011.44 = 644.99 : x
  2. Step 2: Convert to fraction form
    670.30/1,011.44 = 644.99/x
  3. Step 3: Cross multiply
    670.30x = 1,011.44 × 644.99
  4. Step 4: Simplify right side
    670.30x = 652,365.24
  5. Step 5: Solve for x
    x = 652,365.24/670.30
  6. Step 6: Final answer
    x = 973.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.