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Finding the Fourth Proportional to 1,030.69, 1,546.67 and 482.93

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Solution

The fourth proportional to 1,030.69, 1,546.67 and 482.93 is: 724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.69 : 1,546.67 = 482.93 : x
  2. Step 2: Convert to fraction form
    1,030.69/1,546.67 = 482.93/x
  3. Step 3: Cross multiply
    1,030.69x = 1,546.67 × 482.93
  4. Step 4: Simplify right side
    1,030.69x = 746,933.34
  5. Step 5: Solve for x
    x = 746,933.34/1,030.69
  6. Step 6: Final answer
    x = 724.69

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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.