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Finding the Fourth Proportional to 970.52, 1,453.98 and 482.36

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Solution

The fourth proportional to 970.52, 1,453.98 and 482.36 is: 722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.52 : 1,453.98 = 482.36 : x
  2. Step 2: Convert to fraction form
    970.52/1,453.98 = 482.36/x
  3. Step 3: Cross multiply
    970.52x = 1,453.98 × 482.36
  4. Step 4: Simplify right side
    970.52x = 701,341.79
  5. Step 5: Solve for x
    x = 701,341.79/970.52
  6. Step 6: Final answer
    x = 722.65

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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.