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Finding the Fourth Proportional to 1,065.46, 1,597.57 and 488.02

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Solution

The fourth proportional to 1,065.46, 1,597.57 and 488.02 is: 731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.46 : 1,597.57 = 488.02 : x
  2. Step 2: Convert to fraction form
    1,065.46/1,597.57 = 488.02/x
  3. Step 3: Cross multiply
    1,065.46x = 1,597.57 × 488.02
  4. Step 4: Simplify right side
    1,065.46x = 779,646.11
  5. Step 5: Solve for x
    x = 779,646.11/1,065.46
  6. Step 6: Final answer
    x = 731.75

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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.