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Finding the Fourth Proportional to 921.26, 1,271.07 and 567.06

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Solution

The fourth proportional to 921.26, 1,271.07 and 567.06 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.26 : 1,271.07 = 567.06 : x
  2. Step 2: Convert to fraction form
    921.26/1,271.07 = 567.06/x
  3. Step 3: Cross multiply
    921.26x = 1,271.07 × 567.06
  4. Step 4: Simplify right side
    921.26x = 720,772.95
  5. Step 5: Solve for x
    x = 720,772.95/921.26
  6. Step 6: Final answer
    x = 782.38

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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.