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Finding the Fourth Proportional to 1,577.40, 2,364.27 and 744.99

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Solution

The fourth proportional to 1,577.40, 2,364.27 and 744.99 is: 1,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.40 : 2,364.27 = 744.99 : x
  2. Step 2: Convert to fraction form
    1,577.40/2,364.27 = 744.99/x
  3. Step 3: Cross multiply
    1,577.40x = 2,364.27 × 744.99
  4. Step 4: Simplify right side
    1,577.40x = 1,761,357.51
  5. Step 5: Solve for x
    x = 1,761,357.51/1,577.40
  6. Step 6: Final answer
    x = 1,116.62

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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.