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Finding the Fourth Proportional to 880.19, 1,214.61 and 585.99

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Solution

The fourth proportional to 880.19, 1,214.61 and 585.99 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.19 : 1,214.61 = 585.99 : x
  2. Step 2: Convert to fraction form
    880.19/1,214.61 = 585.99/x
  3. Step 3: Cross multiply
    880.19x = 1,214.61 × 585.99
  4. Step 4: Simplify right side
    880.19x = 711,749.31
  5. Step 5: Solve for x
    x = 711,749.31/880.19
  6. Step 6: Final answer
    x = 808.64

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Double scale
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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.