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Finding the Fourth Proportional to 1,111.99, 1,535.16 and 670

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Solution

The fourth proportional to 1,111.99, 1,535.16 and 670 is: 924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.99 : 1,535.16 = 670 : x
  2. Step 2: Convert to fraction form
    1,111.99/1,535.16 = 670/x
  3. Step 3: Cross multiply
    1,111.99x = 1,535.16 × 670
  4. Step 4: Simplify right side
    1,111.99x = 1,028,557.20
  5. Step 5: Solve for x
    x = 1,028,557.20/1,111.99
  6. Step 6: Final answer
    x = 924.97

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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.