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Finding the Fourth Proportional to 1,156.70, 1,741.23 and 1,037.63

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Solution

The fourth proportional to 1,156.70, 1,741.23 and 1,037.63 is: 1,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.70 : 1,741.23 = 1,037.63 : x
  2. Step 2: Convert to fraction form
    1,156.70/1,741.23 = 1,037.63/x
  3. Step 3: Cross multiply
    1,156.70x = 1,741.23 × 1,037.63
  4. Step 4: Simplify right side
    1,156.70x = 1,806,747.67
  5. Step 5: Solve for x
    x = 1,806,747.67/1,156.70
  6. Step 6: Final answer
    x = 1,561.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.