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Finding the Fourth Proportional to 1,137.51, 1,705.52 and 479.81

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Solution

The fourth proportional to 1,137.51, 1,705.52 and 479.81 is: 719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.51 : 1,705.52 = 479.81 : x
  2. Step 2: Convert to fraction form
    1,137.51/1,705.52 = 479.81/x
  3. Step 3: Cross multiply
    1,137.51x = 1,705.52 × 479.81
  4. Step 4: Simplify right side
    1,137.51x = 818,331.01
  5. Step 5: Solve for x
    x = 818,331.01/1,137.51
  6. Step 6: Final answer
    x = 719.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.