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Finding the Fourth Proportional to 1,567.30, 2,353.65 and 838.30

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Solution

The fourth proportional to 1,567.30, 2,353.65 and 838.30 is: 1,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.30 : 2,353.65 = 838.30 : x
  2. Step 2: Convert to fraction form
    1,567.30/2,353.65 = 838.30/x
  3. Step 3: Cross multiply
    1,567.30x = 2,353.65 × 838.30
  4. Step 4: Simplify right side
    1,567.30x = 1,973,064.80
  5. Step 5: Solve for x
    x = 1,973,064.80/1,567.30
  6. Step 6: Final answer
    x = 1,258.89

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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.