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Finding the Fourth Proportional to 953.52, 1,430.27 and 459.98

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Solution

The fourth proportional to 953.52, 1,430.27 and 459.98 is: 689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.52 : 1,430.27 = 459.98 : x
  2. Step 2: Convert to fraction form
    953.52/1,430.27 = 459.98/x
  3. Step 3: Cross multiply
    953.52x = 1,430.27 × 459.98
  4. Step 4: Simplify right side
    953.52x = 657,886.14
  5. Step 5: Solve for x
    x = 657,886.14/953.52
  6. Step 6: Final answer
    x = 689.96

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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.