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Finding the Fourth Proportional to 900.52, 1,242.12 and 782.32

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Solution

The fourth proportional to 900.52, 1,242.12 and 782.32 is: 1,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.52 : 1,242.12 = 782.32 : x
  2. Step 2: Convert to fraction form
    900.52/1,242.12 = 782.32/x
  3. Step 3: Cross multiply
    900.52x = 1,242.12 × 782.32
  4. Step 4: Simplify right side
    900.52x = 971,735.32
  5. Step 5: Solve for x
    x = 971,735.32/900.52
  6. Step 6: Final answer
    x = 1,079.08

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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.