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Finding the Fourth Proportional to 841.98, 1,161.78 and 510.36

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Solution

The fourth proportional to 841.98, 1,161.78 and 510.36 is: 704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.98 : 1,161.78 = 510.36 : x
  2. Step 2: Convert to fraction form
    841.98/1,161.78 = 510.36/x
  3. Step 3: Cross multiply
    841.98x = 1,161.78 × 510.36
  4. Step 4: Simplify right side
    841.98x = 592,926.04
  5. Step 5: Solve for x
    x = 592,926.04/841.98
  6. Step 6: Final answer
    x = 704.20

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1.5x scale

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.