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Finding the Fourth Proportional to 1,035.65, 1,431.24 and 848.84

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Solution

The fourth proportional to 1,035.65, 1,431.24 and 848.84 is: 1,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.65 : 1,431.24 = 848.84 : x
  2. Step 2: Convert to fraction form
    1,035.65/1,431.24 = 848.84/x
  3. Step 3: Cross multiply
    1,035.65x = 1,431.24 × 848.84
  4. Step 4: Simplify right side
    1,035.65x = 1,214,893.76
  5. Step 5: Solve for x
    x = 1,214,893.76/1,035.65
  6. Step 6: Final answer
    x = 1,173.07

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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.