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Finding the Fourth Proportional to 864.52, 1,193.06 and 510.46

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Solution

The fourth proportional to 864.52, 1,193.06 and 510.46 is: 704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.52 : 1,193.06 = 510.46 : x
  2. Step 2: Convert to fraction form
    864.52/1,193.06 = 510.46/x
  3. Step 3: Cross multiply
    864.52x = 1,193.06 × 510.46
  4. Step 4: Simplify right side
    864.52x = 609,009.41
  5. Step 5: Solve for x
    x = 609,009.41/864.52
  6. Step 6: Final answer
    x = 704.45

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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.