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Finding the Fourth Proportional to 703.84, 1,055.76 and 509.44

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Solution

The fourth proportional to 703.84, 1,055.76 and 509.44 is: 764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 1,055.76 = 509.44 : x
  2. Step 2: Convert to fraction form
    703.84/1,055.76 = 509.44/x
  3. Step 3: Cross multiply
    703.84x = 1,055.76 × 509.44
  4. Step 4: Simplify right side
    703.84x = 537,846.37
  5. Step 5: Solve for x
    x = 537,846.37/703.84
  6. Step 6: Final answer
    x = 764.16

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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.