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Finding the Fourth Proportional to 915.66, 1,262.75 and 584.19

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Solution

The fourth proportional to 915.66, 1,262.75 and 584.19 is: 805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.66 : 1,262.75 = 584.19 : x
  2. Step 2: Convert to fraction form
    915.66/1,262.75 = 584.19/x
  3. Step 3: Cross multiply
    915.66x = 1,262.75 × 584.19
  4. Step 4: Simplify right side
    915.66x = 737,683.00
  5. Step 5: Solve for x
    x = 737,683.00/915.66
  6. Step 6: Final answer
    x = 805.63

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Half scale
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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.