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Finding the Fourth Proportional to 873.59, 1,205.75 and 558.77

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Solution

The fourth proportional to 873.59, 1,205.75 and 558.77 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.59 : 1,205.75 = 558.77 : x
  2. Step 2: Convert to fraction form
    873.59/1,205.75 = 558.77/x
  3. Step 3: Cross multiply
    873.59x = 1,205.75 × 558.77
  4. Step 4: Simplify right side
    873.59x = 673,732.30
  5. Step 5: Solve for x
    x = 673,732.30/873.59
  6. Step 6: Final answer
    x = 771.23

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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.