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Finding the Fourth Proportional to 880.70, 1,214.93 and 585.59

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Solution

The fourth proportional to 880.70, 1,214.93 and 585.59 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.70 : 1,214.93 = 585.59 : x
  2. Step 2: Convert to fraction form
    880.70/1,214.93 = 585.59/x
  3. Step 3: Cross multiply
    880.70x = 1,214.93 × 585.59
  4. Step 4: Simplify right side
    880.70x = 711,441.86
  5. Step 5: Solve for x
    x = 711,441.86/880.70
  6. Step 6: Final answer
    x = 807.82

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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.