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Finding the Fourth Proportional to 1,059.75, 1,462.10 and 655.65

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Solution

The fourth proportional to 1,059.75, 1,462.10 and 655.65 is: 904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.75 : 1,462.10 = 655.65 : x
  2. Step 2: Convert to fraction form
    1,059.75/1,462.10 = 655.65/x
  3. Step 3: Cross multiply
    1,059.75x = 1,462.10 × 655.65
  4. Step 4: Simplify right side
    1,059.75x = 958,622.59
  5. Step 5: Solve for x
    x = 958,622.59/1,059.75
  6. Step 6: Final answer
    x = 904.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.