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Finding the Fourth Proportional to 734.95, 1,014.09 and 424.39

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Solution

The fourth proportional to 734.95, 1,014.09 and 424.39 is: 585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.95 : 1,014.09 = 424.39 : x
  2. Step 2: Convert to fraction form
    734.95/1,014.09 = 424.39/x
  3. Step 3: Cross multiply
    734.95x = 1,014.09 × 424.39
  4. Step 4: Simplify right side
    734.95x = 430,369.66
  5. Step 5: Solve for x
    x = 430,369.66/734.95
  6. Step 6: Final answer
    x = 585.58

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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.