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Finding the Fourth Proportional to 830.50, 1,146.11 and 457.50

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Solution

The fourth proportional to 830.50, 1,146.11 and 457.50 is: 631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.50 : 1,146.11 = 457.50 : x
  2. Step 2: Convert to fraction form
    830.50/1,146.11 = 457.50/x
  3. Step 3: Cross multiply
    830.50x = 1,146.11 × 457.50
  4. Step 4: Simplify right side
    830.50x = 524,345.33
  5. Step 5: Solve for x
    x = 524,345.33/830.50
  6. Step 6: Final answer
    x = 631.36

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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.