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Finding the Fourth Proportional to 740.73, 1,022.02 and 505.45

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Solution

The fourth proportional to 740.73, 1,022.02 and 505.45 is: 697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.73 : 1,022.02 = 505.45 : x
  2. Step 2: Convert to fraction form
    740.73/1,022.02 = 505.45/x
  3. Step 3: Cross multiply
    740.73x = 1,022.02 × 505.45
  4. Step 4: Simplify right side
    740.73x = 516,580.01
  5. Step 5: Solve for x
    x = 516,580.01/740.73
  6. Step 6: Final answer
    x = 697.39

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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.