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Finding the Fourth Proportional to 698.76, 964.98 and 583.56

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Solution

The fourth proportional to 698.76, 964.98 and 583.56 is: 805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 964.98 = 583.56 : x
  2. Step 2: Convert to fraction form
    698.76/964.98 = 583.56/x
  3. Step 3: Cross multiply
    698.76x = 964.98 × 583.56
  4. Step 4: Simplify right side
    698.76x = 563,123.73
  5. Step 5: Solve for x
    x = 563,123.73/698.76
  6. Step 6: Final answer
    x = 805.89

Related Problems

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Half scale
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Double scale
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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.