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Finding the Fourth Proportional to 1,123.26, 1,684.90 and 353.76

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Solution

The fourth proportional to 1,123.26, 1,684.90 and 353.76 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.26 : 1,684.90 = 353.76 : x
  2. Step 2: Convert to fraction form
    1,123.26/1,684.90 = 353.76/x
  3. Step 3: Cross multiply
    1,123.26x = 1,684.90 × 353.76
  4. Step 4: Simplify right side
    1,123.26x = 596,050.22
  5. Step 5: Solve for x
    x = 596,050.22/1,123.26
  6. Step 6: Final answer
    x = 530.64

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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.