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Finding the Fourth Proportional to 1,130.09, 1,557.70 and 797.99

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Solution

The fourth proportional to 1,130.09, 1,557.70 and 797.99 is: 1,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.09 : 1,557.70 = 797.99 : x
  2. Step 2: Convert to fraction form
    1,130.09/1,557.70 = 797.99/x
  3. Step 3: Cross multiply
    1,130.09x = 1,557.70 × 797.99
  4. Step 4: Simplify right side
    1,130.09x = 1,243,019.24
  5. Step 5: Solve for x
    x = 1,243,019.24/1,130.09
  6. Step 6: Final answer
    x = 1,099.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.