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Finding the Fourth Proportional to 690.50, 954.18 and 656.84

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Solution

The fourth proportional to 690.50, 954.18 and 656.84 is: 907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.50 : 954.18 = 656.84 : x
  2. Step 2: Convert to fraction form
    690.50/954.18 = 656.84/x
  3. Step 3: Cross multiply
    690.50x = 954.18 × 656.84
  4. Step 4: Simplify right side
    690.50x = 626,743.59
  5. Step 5: Solve for x
    x = 626,743.59/690.50
  6. Step 6: Final answer
    x = 907.67

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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.