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Finding the Fourth Proportional to 922.59, 1,270.26 and 782.42

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Solution

The fourth proportional to 922.59, 1,270.26 and 782.42 is: 1,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.59 : 1,270.26 = 782.42 : x
  2. Step 2: Convert to fraction form
    922.59/1,270.26 = 782.42/x
  3. Step 3: Cross multiply
    922.59x = 1,270.26 × 782.42
  4. Step 4: Simplify right side
    922.59x = 993,870.48
  5. Step 5: Solve for x
    x = 993,870.48/922.59
  6. Step 6: Final answer
    x = 1,077.26

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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.