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Finding the Fourth Proportional to 816.48, 1,124.03 and 761.35

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Solution

The fourth proportional to 816.48, 1,124.03 and 761.35 is: 1,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.48 : 1,124.03 = 761.35 : x
  2. Step 2: Convert to fraction form
    816.48/1,124.03 = 761.35/x
  3. Step 3: Cross multiply
    816.48x = 1,124.03 × 761.35
  4. Step 4: Simplify right side
    816.48x = 855,777.16
  5. Step 5: Solve for x
    x = 855,777.16/816.48
  6. Step 6: Final answer
    x = 1,048.13

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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.