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Finding the Fourth Proportional to 835.99, 1,153.57 and 462.95

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Solution

The fourth proportional to 835.99, 1,153.57 and 462.95 is: 638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.99 : 1,153.57 = 462.95 : x
  2. Step 2: Convert to fraction form
    835.99/1,153.57 = 462.95/x
  3. Step 3: Cross multiply
    835.99x = 1,153.57 × 462.95
  4. Step 4: Simplify right side
    835.99x = 534,045.23
  5. Step 5: Solve for x
    x = 534,045.23/835.99
  6. Step 6: Final answer
    x = 638.82

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Double scale
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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.