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Finding the Fourth Proportional to 873.65, 1,204.42 and 740.34

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Solution

The fourth proportional to 873.65, 1,204.42 and 740.34 is: 1,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.65 : 1,204.42 = 740.34 : x
  2. Step 2: Convert to fraction form
    873.65/1,204.42 = 740.34/x
  3. Step 3: Cross multiply
    873.65x = 1,204.42 × 740.34
  4. Step 4: Simplify right side
    873.65x = 891,679.84
  5. Step 5: Solve for x
    x = 891,679.84/873.65
  6. Step 6: Final answer
    x = 1,020.63

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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.