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Finding the Fourth Proportional to 686.70, 946.35 and 568.26

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Solution

The fourth proportional to 686.70, 946.35 and 568.26 is: 783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.70 : 946.35 = 568.26 : x
  2. Step 2: Convert to fraction form
    686.70/946.35 = 568.26/x
  3. Step 3: Cross multiply
    686.70x = 946.35 × 568.26
  4. Step 4: Simplify right side
    686.70x = 537,772.85
  5. Step 5: Solve for x
    x = 537,772.85/686.70
  6. Step 6: Final answer
    x = 783.13

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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.