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Finding the Fourth Proportional to 1,023.90, 1,535.70 and 374.49

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Solution

The fourth proportional to 1,023.90, 1,535.70 and 374.49 is: 561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.90 : 1,535.70 = 374.49 : x
  2. Step 2: Convert to fraction form
    1,023.90/1,535.70 = 374.49/x
  3. Step 3: Cross multiply
    1,023.90x = 1,535.70 × 374.49
  4. Step 4: Simplify right side
    1,023.90x = 575,096.61
  5. Step 5: Solve for x
    x = 575,096.61/1,023.90
  6. Step 6: Final answer
    x = 561.67

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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.