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Finding the Fourth Proportional to 1,385.64, 1,913.02 and 862.38

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Solution

The fourth proportional to 1,385.64, 1,913.02 and 862.38 is: 1,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.64 : 1,913.02 = 862.38 : x
  2. Step 2: Convert to fraction form
    1,385.64/1,913.02 = 862.38/x
  3. Step 3: Cross multiply
    1,385.64x = 1,913.02 × 862.38
  4. Step 4: Simplify right side
    1,385.64x = 1,649,748.03
  5. Step 5: Solve for x
    x = 1,649,748.03/1,385.64
  6. Step 6: Final answer
    x = 1,190.60

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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.