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Finding the Fourth Proportional to 921.10, 1,271.25 and 567.08

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Solution

The fourth proportional to 921.10, 1,271.25 and 567.08 is: 782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.10 : 1,271.25 = 567.08 : x
  2. Step 2: Convert to fraction form
    921.10/1,271.25 = 567.08/x
  3. Step 3: Cross multiply
    921.10x = 1,271.25 × 567.08
  4. Step 4: Simplify right side
    921.10x = 720,900.45
  5. Step 5: Solve for x
    x = 720,900.45/921.10
  6. Step 6: Final answer
    x = 782.65

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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.