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Finding the Fourth Proportional to 841.84, 1,161.57 and 510.31

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Solution

The fourth proportional to 841.84, 1,161.57 and 510.31 is: 704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.84 : 1,161.57 = 510.31 : x
  2. Step 2: Convert to fraction form
    841.84/1,161.57 = 510.31/x
  3. Step 3: Cross multiply
    841.84x = 1,161.57 × 510.31
  4. Step 4: Simplify right side
    841.84x = 592,760.79
  5. Step 5: Solve for x
    x = 592,760.79/841.84
  6. Step 6: Final answer
    x = 704.13

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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.