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Finding the Fourth Proportional to 1,056.73, 1,582.86 and 507.22

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Solution

The fourth proportional to 1,056.73, 1,582.86 and 507.22 is: 759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.73 : 1,582.86 = 507.22 : x
  2. Step 2: Convert to fraction form
    1,056.73/1,582.86 = 507.22/x
  3. Step 3: Cross multiply
    1,056.73x = 1,582.86 × 507.22
  4. Step 4: Simplify right side
    1,056.73x = 802,858.25
  5. Step 5: Solve for x
    x = 802,858.25/1,056.73
  6. Step 6: Final answer
    x = 759.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.