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Finding the Fourth Proportional to 1,534.87, 2,303.08 and 612.23

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Solution

The fourth proportional to 1,534.87, 2,303.08 and 612.23 is: 918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.87 : 2,303.08 = 612.23 : x
  2. Step 2: Convert to fraction form
    1,534.87/2,303.08 = 612.23/x
  3. Step 3: Cross multiply
    1,534.87x = 2,303.08 × 612.23
  4. Step 4: Simplify right side
    1,534.87x = 1,410,014.67
  5. Step 5: Solve for x
    x = 1,410,014.67/1,534.87
  6. Step 6: Final answer
    x = 918.65

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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.