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Finding the Fourth Proportional to 1,325.43, 1,988.25 and 595.08

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Solution

The fourth proportional to 1,325.43, 1,988.25 and 595.08 is: 892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.43 : 1,988.25 = 595.08 : x
  2. Step 2: Convert to fraction form
    1,325.43/1,988.25 = 595.08/x
  3. Step 3: Cross multiply
    1,325.43x = 1,988.25 × 595.08
  4. Step 4: Simplify right side
    1,325.43x = 1,183,167.81
  5. Step 5: Solve for x
    x = 1,183,167.81/1,325.43
  6. Step 6: Final answer
    x = 892.67

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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.