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Finding the Fourth Proportional to 880.16, 1,214.69 and 585.23

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Solution

The fourth proportional to 880.16, 1,214.69 and 585.23 is: 807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.16 : 1,214.69 = 585.23 : x
  2. Step 2: Convert to fraction form
    880.16/1,214.69 = 585.23/x
  3. Step 3: Cross multiply
    880.16x = 1,214.69 × 585.23
  4. Step 4: Simplify right side
    880.16x = 710,864.03
  5. Step 5: Solve for x
    x = 710,864.03/880.16
  6. Step 6: Final answer
    x = 807.66

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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.