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Finding the Fourth Proportional to 972.70, 1,459.04 and 828.10

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Solution

The fourth proportional to 972.70, 1,459.04 and 828.10 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.70 : 1,459.04 = 828.10 : x
  2. Step 2: Convert to fraction form
    972.70/1,459.04 = 828.10/x
  3. Step 3: Cross multiply
    972.70x = 1,459.04 × 828.10
  4. Step 4: Simplify right side
    972.70x = 1,208,231.02
  5. Step 5: Solve for x
    x = 1,208,231.02/972.70
  6. Step 6: Final answer
    x = 1,242.14

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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.