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Finding the Fourth Proportional to 970.90, 1,455.27 and 450.75

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Solution

The fourth proportional to 970.90, 1,455.27 and 450.75 is: 675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.90 : 1,455.27 = 450.75 : x
  2. Step 2: Convert to fraction form
    970.90/1,455.27 = 450.75/x
  3. Step 3: Cross multiply
    970.90x = 1,455.27 × 450.75
  4. Step 4: Simplify right side
    970.90x = 655,962.95
  5. Step 5: Solve for x
    x = 655,962.95/970.90
  6. Step 6: Final answer
    x = 675.62

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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.