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Finding the Fourth Proportional to 1,029.84, 1,543.80 and 509.52

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Solution

The fourth proportional to 1,029.84, 1,543.80 and 509.52 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.84 : 1,543.80 = 509.52 : x
  2. Step 2: Convert to fraction form
    1,029.84/1,543.80 = 509.52/x
  3. Step 3: Cross multiply
    1,029.84x = 1,543.80 × 509.52
  4. Step 4: Simplify right side
    1,029.84x = 786,596.98
  5. Step 5: Solve for x
    x = 786,596.98/1,029.84
  6. Step 6: Final answer
    x = 763.81

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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.