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Finding the Fourth Proportional to 953.70, 1,430.28 and 459.96

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Solution

The fourth proportional to 953.70, 1,430.28 and 459.96 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.70 : 1,430.28 = 459.96 : x
  2. Step 2: Convert to fraction form
    953.70/1,430.28 = 459.96/x
  3. Step 3: Cross multiply
    953.70x = 1,430.28 × 459.96
  4. Step 4: Simplify right side
    953.70x = 657,871.59
  5. Step 5: Solve for x
    x = 657,871.59/953.70
  6. Step 6: Final answer
    x = 689.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.