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Finding the Fourth Proportional to 705.51, 1,056.24 and 509.22

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Solution

The fourth proportional to 705.51, 1,056.24 and 509.22 is: 762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 1,056.24 = 509.22 : x
  2. Step 2: Convert to fraction form
    705.51/1,056.24 = 509.22/x
  3. Step 3: Cross multiply
    705.51x = 1,056.24 × 509.22
  4. Step 4: Simplify right side
    705.51x = 537,858.53
  5. Step 5: Solve for x
    x = 537,858.53/705.51
  6. Step 6: Final answer
    x = 762.37

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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.