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Finding the Fourth Proportional to 830.44, 1,146.02 and 457.41

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Solution

The fourth proportional to 830.44, 1,146.02 and 457.41 is: 631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,146.02 = 457.41 : x
  2. Step 2: Convert to fraction form
    830.44/1,146.02 = 457.41/x
  3. Step 3: Cross multiply
    830.44x = 1,146.02 × 457.41
  4. Step 4: Simplify right side
    830.44x = 524,203.02
  5. Step 5: Solve for x
    x = 524,203.02/830.44
  6. Step 6: Final answer
    x = 631.24

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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.