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Finding the Fourth Proportional to 1,322.07, 1,981.70 and 499.98

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Solution

The fourth proportional to 1,322.07, 1,981.70 and 499.98 is: 749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.07 : 1,981.70 = 499.98 : x
  2. Step 2: Convert to fraction form
    1,322.07/1,981.70 = 499.98/x
  3. Step 3: Cross multiply
    1,322.07x = 1,981.70 × 499.98
  4. Step 4: Simplify right side
    1,322.07x = 990,810.37
  5. Step 5: Solve for x
    x = 990,810.37/1,322.07
  6. Step 6: Final answer
    x = 749.44

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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.