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Finding the Fourth Proportional to 1,056.74, 1,584.18 and 536.30

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Solution

The fourth proportional to 1,056.74, 1,584.18 and 536.30 is: 803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.74 : 1,584.18 = 536.30 : x
  2. Step 2: Convert to fraction form
    1,056.74/1,584.18 = 536.30/x
  3. Step 3: Cross multiply
    1,056.74x = 1,584.18 × 536.30
  4. Step 4: Simplify right side
    1,056.74x = 849,587.81
  5. Step 5: Solve for x
    x = 849,587.81/1,056.74
  6. Step 6: Final answer
    x = 803.97

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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.