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Finding the Fourth Proportional to 1,030.95, 1,546.51 and 414.58

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Solution

The fourth proportional to 1,030.95, 1,546.51 and 414.58 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.95 : 1,546.51 = 414.58 : x
  2. Step 2: Convert to fraction form
    1,030.95/1,546.51 = 414.58/x
  3. Step 3: Cross multiply
    1,030.95x = 1,546.51 × 414.58
  4. Step 4: Simplify right side
    1,030.95x = 641,142.31
  5. Step 5: Solve for x
    x = 641,142.31/1,030.95
  6. Step 6: Final answer
    x = 621.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.