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Finding the Fourth Proportional to 1,056.72, 1,585.15 and 326.20

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Solution

The fourth proportional to 1,056.72, 1,585.15 and 326.20 is: 489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.72 : 1,585.15 = 326.20 : x
  2. Step 2: Convert to fraction form
    1,056.72/1,585.15 = 326.20/x
  3. Step 3: Cross multiply
    1,056.72x = 1,585.15 × 326.20
  4. Step 4: Simplify right side
    1,056.72x = 517,075.93
  5. Step 5: Solve for x
    x = 517,075.93/1,056.72
  6. Step 6: Final answer
    x = 489.32

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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.