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Finding the Fourth Proportional to 883.84, 1,219.16 and 585.08

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Solution

The fourth proportional to 883.84, 1,219.16 and 585.08 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.84 : 1,219.16 = 585.08 : x
  2. Step 2: Convert to fraction form
    883.84/1,219.16 = 585.08/x
  3. Step 3: Cross multiply
    883.84x = 1,219.16 × 585.08
  4. Step 4: Simplify right side
    883.84x = 713,306.13
  5. Step 5: Solve for x
    x = 713,306.13/883.84
  6. Step 6: Final answer
    x = 807.05

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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.