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Finding the Fourth Proportional to 1,503.58, 2,255.37 and 477.50

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Solution

The fourth proportional to 1,503.58, 2,255.37 and 477.50 is: 716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.58 : 2,255.37 = 477.50 : x
  2. Step 2: Convert to fraction form
    1,503.58/2,255.37 = 477.50/x
  3. Step 3: Cross multiply
    1,503.58x = 2,255.37 × 477.50
  4. Step 4: Simplify right side
    1,503.58x = 1,076,939.18
  5. Step 5: Solve for x
    x = 1,076,939.18/1,503.58
  6. Step 6: Final answer
    x = 716.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.