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Finding the Fourth Proportional to 1,125.24, 1,552.87 and 628.00

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Solution

The fourth proportional to 1,125.24, 1,552.87 and 628.00 is: 866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.24 : 1,552.87 = 628.00 : x
  2. Step 2: Convert to fraction form
    1,125.24/1,552.87 = 628.00/x
  3. Step 3: Cross multiply
    1,125.24x = 1,552.87 × 628.00
  4. Step 4: Simplify right side
    1,125.24x = 975,208.00
  5. Step 5: Solve for x
    x = 975,208.00/1,125.24
  6. Step 6: Final answer
    x = 866.67

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