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Finding the Fourth Proportional to 1,056.37, 1,584.41 and 507.73

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Solution

The fourth proportional to 1,056.37, 1,584.41 and 507.73 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.37 : 1,584.41 = 507.73 : x
  2. Step 2: Convert to fraction form
    1,056.37/1,584.41 = 507.73/x
  3. Step 3: Cross multiply
    1,056.37x = 1,584.41 × 507.73
  4. Step 4: Simplify right side
    1,056.37x = 804,444.57
  5. Step 5: Solve for x
    x = 804,444.57/1,056.37
  6. Step 6: Final answer
    x = 761.52

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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.