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Finding the Fourth Proportional to 972.69, 1,459.04 and 828.12

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Solution

The fourth proportional to 972.69, 1,459.04 and 828.12 is: 1,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.69 : 1,459.04 = 828.12 : x
  2. Step 2: Convert to fraction form
    972.69/1,459.04 = 828.12/x
  3. Step 3: Cross multiply
    972.69x = 1,459.04 × 828.12
  4. Step 4: Simplify right side
    972.69x = 1,208,256.06
  5. Step 5: Solve for x
    x = 1,208,256.06/972.69
  6. Step 6: Final answer
    x = 1,242.18

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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.