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Finding the Fourth Proportional to 1,056.78, 1,459.12 and 683.98

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Solution

The fourth proportional to 1,056.78, 1,459.12 and 683.98 is: 944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.78 : 1,459.12 = 683.98 : x
  2. Step 2: Convert to fraction form
    1,056.78/1,459.12 = 683.98/x
  3. Step 3: Cross multiply
    1,056.78x = 1,459.12 × 683.98
  4. Step 4: Simplify right side
    1,056.78x = 998,008.90
  5. Step 5: Solve for x
    x = 998,008.90/1,056.78
  6. Step 6: Final answer
    x = 944.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.