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Finding the Fourth Proportional to 830.82, 1,146.54 and 457.82

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Solution

The fourth proportional to 830.82, 1,146.54 and 457.82 is: 631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,146.54 = 457.82 : x
  2. Step 2: Convert to fraction form
    830.82/1,146.54 = 457.82/x
  3. Step 3: Cross multiply
    830.82x = 1,146.54 × 457.82
  4. Step 4: Simplify right side
    830.82x = 524,908.94
  5. Step 5: Solve for x
    x = 524,908.94/830.82
  6. Step 6: Final answer
    x = 631.80

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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.