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Finding the Fourth Proportional to 830.66, 1,146.26 and 457.64

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Solution

The fourth proportional to 830.66, 1,146.26 and 457.64 is: 631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.66 : 1,146.26 = 457.64 : x
  2. Step 2: Convert to fraction form
    830.66/1,146.26 = 457.64/x
  3. Step 3: Cross multiply
    830.66x = 1,146.26 × 457.64
  4. Step 4: Simplify right side
    830.66x = 524,566.41
  5. Step 5: Solve for x
    x = 524,566.41/830.66
  6. Step 6: Final answer
    x = 631.51

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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.