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Finding the Fourth Proportional to 944.93, 1,416.03 and 829.10

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Solution

The fourth proportional to 944.93, 1,416.03 and 829.10 is: 1,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.93 : 1,416.03 = 829.10 : x
  2. Step 2: Convert to fraction form
    944.93/1,416.03 = 829.10/x
  3. Step 3: Cross multiply
    944.93x = 1,416.03 × 829.10
  4. Step 4: Simplify right side
    944.93x = 1,174,030.47
  5. Step 5: Solve for x
    x = 1,174,030.47/944.93
  6. Step 6: Final answer
    x = 1,242.45

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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.