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Finding the Fourth Proportional to 1,131.93, 1,562.49 and 973.98

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Solution

The fourth proportional to 1,131.93, 1,562.49 and 973.98 is: 1,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.93 : 1,562.49 = 973.98 : x
  2. Step 2: Convert to fraction form
    1,131.93/1,562.49 = 973.98/x
  3. Step 3: Cross multiply
    1,131.93x = 1,562.49 × 973.98
  4. Step 4: Simplify right side
    1,131.93x = 1,521,834.01
  5. Step 5: Solve for x
    x = 1,521,834.01/1,131.93
  6. Step 6: Final answer
    x = 1,344.46

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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.