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Finding the Fourth Proportional to 1,030.46, 1,541.81 and 722.91

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Solution

The fourth proportional to 1,030.46, 1,541.81 and 722.91 is: 1,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.46 : 1,541.81 = 722.91 : x
  2. Step 2: Convert to fraction form
    1,030.46/1,541.81 = 722.91/x
  3. Step 3: Cross multiply
    1,030.46x = 1,541.81 × 722.91
  4. Step 4: Simplify right side
    1,030.46x = 1,114,586.25
  5. Step 5: Solve for x
    x = 1,114,586.25/1,030.46
  6. Step 6: Final answer
    x = 1,081.64

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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.