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Finding the Fourth Proportional to 970.16, 1,454.64 and 482.96

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Solution

The fourth proportional to 970.16, 1,454.64 and 482.96 is: 724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,454.64 = 482.96 : x
  2. Step 2: Convert to fraction form
    970.16/1,454.64 = 482.96/x
  3. Step 3: Cross multiply
    970.16x = 1,454.64 × 482.96
  4. Step 4: Simplify right side
    970.16x = 702,532.93
  5. Step 5: Solve for x
    x = 702,532.93/970.16
  6. Step 6: Final answer
    x = 724.14

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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.