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Finding the Fourth Proportional to 1,151.88, 1,720.70 and 1,036.14

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Solution

The fourth proportional to 1,151.88, 1,720.70 and 1,036.14 is: 1,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.88 : 1,720.70 = 1,036.14 : x
  2. Step 2: Convert to fraction form
    1,151.88/1,720.70 = 1,036.14/x
  3. Step 3: Cross multiply
    1,151.88x = 1,720.70 × 1,036.14
  4. Step 4: Simplify right side
    1,151.88x = 1,782,880.92
  5. Step 5: Solve for x
    x = 1,782,880.92/1,151.88
  6. Step 6: Final answer
    x = 1,547.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.