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Finding the Fourth Proportional to 835.79, 1,153.28 and 462.74

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Solution

The fourth proportional to 835.79, 1,153.28 and 462.74 is: 638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.79 : 1,153.28 = 462.74 : x
  2. Step 2: Convert to fraction form
    835.79/1,153.28 = 462.74/x
  3. Step 3: Cross multiply
    835.79x = 1,153.28 × 462.74
  4. Step 4: Simplify right side
    835.79x = 533,668.79
  5. Step 5: Solve for x
    x = 533,668.79/835.79
  6. Step 6: Final answer
    x = 638.52

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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.