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Finding the Fourth Proportional to 830.58, 1,145.52 and 633.78

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Solution

The fourth proportional to 830.58, 1,145.52 and 633.78 is: 874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.58 : 1,145.52 = 633.78 : x
  2. Step 2: Convert to fraction form
    830.58/1,145.52 = 633.78/x
  3. Step 3: Cross multiply
    830.58x = 1,145.52 × 633.78
  4. Step 4: Simplify right side
    830.58x = 726,007.67
  5. Step 5: Solve for x
    x = 726,007.67/830.58
  6. Step 6: Final answer
    x = 874.10

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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.