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Finding the Fourth Proportional to 1,124.98, 1,688.49 and 577.54

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Solution

The fourth proportional to 1,124.98, 1,688.49 and 577.54 is: 866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.98 : 1,688.49 = 577.54 : x
  2. Step 2: Convert to fraction form
    1,124.98/1,688.49 = 577.54/x
  3. Step 3: Cross multiply
    1,124.98x = 1,688.49 × 577.54
  4. Step 4: Simplify right side
    1,124.98x = 975,170.51
  5. Step 5: Solve for x
    x = 975,170.51/1,124.98
  6. Step 6: Final answer
    x = 866.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.