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Finding the Fourth Proportional to 841.59, 1,161.48 and 510.25

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Solution

The fourth proportional to 841.59, 1,161.48 and 510.25 is: 704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.59 : 1,161.48 = 510.25 : x
  2. Step 2: Convert to fraction form
    841.59/1,161.48 = 510.25/x
  3. Step 3: Cross multiply
    841.59x = 1,161.48 × 510.25
  4. Step 4: Simplify right side
    841.59x = 592,643.89
  5. Step 5: Solve for x
    x = 592,643.89/841.59
  6. Step 6: Final answer
    x = 704.20

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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.