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Finding the Fourth Proportional to 864.85, 1,193.07 and 585.18

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Solution

The fourth proportional to 864.85, 1,193.07 and 585.18 is: 807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.85 : 1,193.07 = 585.18 : x
  2. Step 2: Convert to fraction form
    864.85/1,193.07 = 585.18/x
  3. Step 3: Cross multiply
    864.85x = 1,193.07 × 585.18
  4. Step 4: Simplify right side
    864.85x = 698,159.18
  5. Step 5: Solve for x
    x = 698,159.18/864.85
  6. Step 6: Final answer
    x = 807.27

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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.