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Finding the Fourth Proportional to 1,292.58, 1,781.68 and 1,012.32

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Solution

The fourth proportional to 1,292.58, 1,781.68 and 1,012.32 is: 1,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.58 : 1,781.68 = 1,012.32 : x
  2. Step 2: Convert to fraction form
    1,292.58/1,781.68 = 1,012.32/x
  3. Step 3: Cross multiply
    1,292.58x = 1,781.68 × 1,012.32
  4. Step 4: Simplify right side
    1,292.58x = 1,803,630.30
  5. Step 5: Solve for x
    x = 1,803,630.30/1,292.58
  6. Step 6: Final answer
    x = 1,395.37

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1.5x scale

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.