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Finding the Fourth Proportional to 830.97, 1,146.75 and 458.00

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Solution

The fourth proportional to 830.97, 1,146.75 and 458.00 is: 632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.97 : 1,146.75 = 458.00 : x
  2. Step 2: Convert to fraction form
    830.97/1,146.75 = 458.00/x
  3. Step 3: Cross multiply
    830.97x = 1,146.75 × 458.00
  4. Step 4: Simplify right side
    830.97x = 525,205.77
  5. Step 5: Solve for x
    x = 525,205.77/830.97
  6. Step 6: Final answer
    x = 632.04

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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.