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Finding the Fourth Proportional to 841.47, 1,162.21 and 561.25

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Solution

The fourth proportional to 841.47, 1,162.21 and 561.25 is: 775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.47 : 1,162.21 = 561.25 : x
  2. Step 2: Convert to fraction form
    841.47/1,162.21 = 561.25/x
  3. Step 3: Cross multiply
    841.47x = 1,162.21 × 561.25
  4. Step 4: Simplify right side
    841.47x = 652,290.36
  5. Step 5: Solve for x
    x = 652,290.36/841.47
  6. Step 6: Final answer
    x = 775.18

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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.