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Finding the Fourth Proportional to 734.79, 1,014.05 and 420.10

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Solution

The fourth proportional to 734.79, 1,014.05 and 420.10 is: 579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.79 : 1,014.05 = 420.10 : x
  2. Step 2: Convert to fraction form
    734.79/1,014.05 = 420.10/x
  3. Step 3: Cross multiply
    734.79x = 1,014.05 × 420.10
  4. Step 4: Simplify right side
    734.79x = 426,002.41
  5. Step 5: Solve for x
    x = 426,002.41/734.79
  6. Step 6: Final answer
    x = 579.76

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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.