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Finding the Fourth Proportional to 1,059.57, 1,461.26 and 686.18

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Solution

The fourth proportional to 1,059.57, 1,461.26 and 686.18 is: 946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.57 : 1,461.26 = 686.18 : x
  2. Step 2: Convert to fraction form
    1,059.57/1,461.26 = 686.18/x
  3. Step 3: Cross multiply
    1,059.57x = 1,461.26 × 686.18
  4. Step 4: Simplify right side
    1,059.57x = 1,002,676.65
  5. Step 5: Solve for x
    x = 1,002,676.65/1,059.57
  6. Step 6: Final answer
    x = 946.31

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1.5x scale

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.