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Finding the Fourth Proportional to 1,170.10, 1,746.85 and 1,040.50

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Solution

The fourth proportional to 1,170.10, 1,746.85 and 1,040.50 is: 1,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.10 : 1,746.85 = 1,040.50 : x
  2. Step 2: Convert to fraction form
    1,170.10/1,746.85 = 1,040.50/x
  3. Step 3: Cross multiply
    1,170.10x = 1,746.85 × 1,040.50
  4. Step 4: Simplify right side
    1,170.10x = 1,817,597.43
  5. Step 5: Solve for x
    x = 1,817,597.43/1,170.10
  6. Step 6: Final answer
    x = 1,553.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.