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Finding the Fourth Proportional to 1,030.29, 1,544.70 and 482.19

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Solution

The fourth proportional to 1,030.29, 1,544.70 and 482.19 is: 722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.29 : 1,544.70 = 482.19 : x
  2. Step 2: Convert to fraction form
    1,030.29/1,544.70 = 482.19/x
  3. Step 3: Cross multiply
    1,030.29x = 1,544.70 × 482.19
  4. Step 4: Simplify right side
    1,030.29x = 744,838.89
  5. Step 5: Solve for x
    x = 744,838.89/1,030.29
  6. Step 6: Final answer
    x = 722.94

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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.