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Finding the Fourth Proportional to 972.64, 1,458.96 and 459.52

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Solution

The fourth proportional to 972.64, 1,458.96 and 459.52 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.64 : 1,458.96 = 459.52 : x
  2. Step 2: Convert to fraction form
    972.64/1,458.96 = 459.52/x
  3. Step 3: Cross multiply
    972.64x = 1,458.96 × 459.52
  4. Step 4: Simplify right side
    972.64x = 670,421.30
  5. Step 5: Solve for x
    x = 670,421.30/972.64
  6. Step 6: Final answer
    x = 689.28

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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.