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Finding the Fourth Proportional to 1,123, 1,684.64 and 507

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Solution

The fourth proportional to 1,123, 1,684.64 and 507 is: 760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123 : 1,684.64 = 507 : x
  2. Step 2: Convert to fraction form
    1,123/1,684.64 = 507/x
  3. Step 3: Cross multiply
    1,123x = 1,684.64 × 507
  4. Step 4: Simplify right side
    1,123x = 854,112.48
  5. Step 5: Solve for x
    x = 854,112.48/1,123
  6. Step 6: Final answer
    x = 760.56

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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.