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Finding the Fourth Proportional to 1,303.22, 1,954.55 and 378.83

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Solution

The fourth proportional to 1,303.22, 1,954.55 and 378.83 is: 568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.22 : 1,954.55 = 378.83 : x
  2. Step 2: Convert to fraction form
    1,303.22/1,954.55 = 378.83/x
  3. Step 3: Cross multiply
    1,303.22x = 1,954.55 × 378.83
  4. Step 4: Simplify right side
    1,303.22x = 740,430.51
  5. Step 5: Solve for x
    x = 740,430.51/1,303.22
  6. Step 6: Final answer
    x = 568.16

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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.