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Finding the Fourth Proportional to 1,024.36, 1,412.58 and 955.24

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Solution

The fourth proportional to 1,024.36, 1,412.58 and 955.24 is: 1,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.36 : 1,412.58 = 955.24 : x
  2. Step 2: Convert to fraction form
    1,024.36/1,412.58 = 955.24/x
  3. Step 3: Cross multiply
    1,024.36x = 1,412.58 × 955.24
  4. Step 4: Simplify right side
    1,024.36x = 1,349,352.92
  5. Step 5: Solve for x
    x = 1,349,352.92/1,024.36
  6. Step 6: Final answer
    x = 1,317.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.