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Finding the Fourth Proportional to 690.76, 957.55 and 646.60

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Solution

The fourth proportional to 690.76, 957.55 and 646.60 is: 896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.76 : 957.55 = 646.60 : x
  2. Step 2: Convert to fraction form
    690.76/957.55 = 646.60/x
  3. Step 3: Cross multiply
    690.76x = 957.55 × 646.60
  4. Step 4: Simplify right side
    690.76x = 619,151.83
  5. Step 5: Solve for x
    x = 619,151.83/690.76
  6. Step 6: Final answer
    x = 896.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.