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Finding the Fourth Proportional to 917.66, 1,265.50 and 586.19

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Solution

The fourth proportional to 917.66, 1,265.50 and 586.19 is: 808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.66 : 1,265.50 = 586.19 : x
  2. Step 2: Convert to fraction form
    917.66/1,265.50 = 586.19/x
  3. Step 3: Cross multiply
    917.66x = 1,265.50 × 586.19
  4. Step 4: Simplify right side
    917.66x = 741,823.45
  5. Step 5: Solve for x
    x = 741,823.45/917.66
  6. Step 6: Final answer
    x = 808.39

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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.