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Finding the Fourth Proportional to 704.91, 972.63 and 425.19

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Solution

The fourth proportional to 704.91, 972.63 and 425.19 is: 586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.91 : 972.63 = 425.19 : x
  2. Step 2: Convert to fraction form
    704.91/972.63 = 425.19/x
  3. Step 3: Cross multiply
    704.91x = 972.63 × 425.19
  4. Step 4: Simplify right side
    704.91x = 413,552.55
  5. Step 5: Solve for x
    x = 413,552.55/704.91
  6. Step 6: Final answer
    x = 586.67

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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.