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Finding the Fourth Proportional to 1,325.60, 1,988.48 and 459.80

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Solution

The fourth proportional to 1,325.60, 1,988.48 and 459.80 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.60 : 1,988.48 = 459.80 : x
  2. Step 2: Convert to fraction form
    1,325.60/1,988.48 = 459.80/x
  3. Step 3: Cross multiply
    1,325.60x = 1,988.48 × 459.80
  4. Step 4: Simplify right side
    1,325.60x = 914,303.10
  5. Step 5: Solve for x
    x = 914,303.10/1,325.60
  6. Step 6: Final answer
    x = 689.73

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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.