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Finding the Fourth Proportional to 1,065.61, 1,598.61 and 480.63

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Solution

The fourth proportional to 1,065.61, 1,598.61 and 480.63 is: 721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.61 : 1,598.61 = 480.63 : x
  2. Step 2: Convert to fraction form
    1,065.61/1,598.61 = 480.63/x
  3. Step 3: Cross multiply
    1,065.61x = 1,598.61 × 480.63
  4. Step 4: Simplify right side
    1,065.61x = 768,347.72
  5. Step 5: Solve for x
    x = 768,347.72/1,065.61
  6. Step 6: Final answer
    x = 721.04

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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.