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Finding the Fourth Proportional to 883.52, 1,219.64 and 585.55

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Solution

The fourth proportional to 883.52, 1,219.64 and 585.55 is: 808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.52 : 1,219.64 = 585.55 : x
  2. Step 2: Convert to fraction form
    883.52/1,219.64 = 585.55/x
  3. Step 3: Cross multiply
    883.52x = 1,219.64 × 585.55
  4. Step 4: Simplify right side
    883.52x = 714,160.20
  5. Step 5: Solve for x
    x = 714,160.20/883.52
  6. Step 6: Final answer
    x = 808.31

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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.