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Finding the Fourth Proportional to 1,056.51, 1,585.17 and 407.25

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Solution

The fourth proportional to 1,056.51, 1,585.17 and 407.25 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.51 : 1,585.17 = 407.25 : x
  2. Step 2: Convert to fraction form
    1,056.51/1,585.17 = 407.25/x
  3. Step 3: Cross multiply
    1,056.51x = 1,585.17 × 407.25
  4. Step 4: Simplify right side
    1,056.51x = 645,560.48
  5. Step 5: Solve for x
    x = 645,560.48/1,056.51
  6. Step 6: Final answer
    x = 611.03

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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.