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Finding the Fourth Proportional to 972.89, 1,460.08 and 780.22

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Solution

The fourth proportional to 972.89, 1,460.08 and 780.22 is: 1,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.89 : 1,460.08 = 780.22 : x
  2. Step 2: Convert to fraction form
    972.89/1,460.08 = 780.22/x
  3. Step 3: Cross multiply
    972.89x = 1,460.08 × 780.22
  4. Step 4: Simplify right side
    972.89x = 1,139,186.42
  5. Step 5: Solve for x
    x = 1,139,186.42/972.89
  6. Step 6: Final answer
    x = 1,170.93

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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.