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Finding the Fourth Proportional to 1,130.24, 1,695.36 and 856.82

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Solution

The fourth proportional to 1,130.24, 1,695.36 and 856.82 is: 1,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.24 : 1,695.36 = 856.82 : x
  2. Step 2: Convert to fraction form
    1,130.24/1,695.36 = 856.82/x
  3. Step 3: Cross multiply
    1,130.24x = 1,695.36 × 856.82
  4. Step 4: Simplify right side
    1,130.24x = 1,452,618.36
  5. Step 5: Solve for x
    x = 1,452,618.36/1,130.24
  6. Step 6: Final answer
    x = 1,285.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.