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Finding the Fourth Proportional to 1,152.35, 1,726.01 and 1,126.99

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Solution

The fourth proportional to 1,152.35, 1,726.01 and 1,126.99 is: 1,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.35 : 1,726.01 = 1,126.99 : x
  2. Step 2: Convert to fraction form
    1,152.35/1,726.01 = 1,126.99/x
  3. Step 3: Cross multiply
    1,152.35x = 1,726.01 × 1,126.99
  4. Step 4: Simplify right side
    1,152.35x = 1,945,181.74
  5. Step 5: Solve for x
    x = 1,945,181.74/1,152.35
  6. Step 6: Final answer
    x = 1,688.01

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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.