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Finding the Fourth Proportional to 1,170.60, 1,756.98 and 846.60

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Solution

The fourth proportional to 1,170.60, 1,756.98 and 846.60 is: 1,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.60 : 1,756.98 = 846.60 : x
  2. Step 2: Convert to fraction form
    1,170.60/1,756.98 = 846.60/x
  3. Step 3: Cross multiply
    1,170.60x = 1,756.98 × 846.60
  4. Step 4: Simplify right side
    1,170.60x = 1,487,459.27
  5. Step 5: Solve for x
    x = 1,487,459.27/1,170.60
  6. Step 6: Final answer
    x = 1,270.68

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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.