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Finding the Fourth Proportional to 838.37, 1,156.85 and 465.26

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Solution

The fourth proportional to 838.37, 1,156.85 and 465.26 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,156.85 = 465.26 : x
  2. Step 2: Convert to fraction form
    838.37/1,156.85 = 465.26/x
  3. Step 3: Cross multiply
    838.37x = 1,156.85 × 465.26
  4. Step 4: Simplify right side
    838.37x = 538,227.92
  5. Step 5: Solve for x
    x = 538,227.92/838.37
  6. Step 6: Final answer
    x = 642.00

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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.