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Finding the Fourth Proportional to 1,015.47, 1,522.60 and 430.38

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Solution

The fourth proportional to 1,015.47, 1,522.60 and 430.38 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.47 : 1,522.60 = 430.38 : x
  2. Step 2: Convert to fraction form
    1,015.47/1,522.60 = 430.38/x
  3. Step 3: Cross multiply
    1,015.47x = 1,522.60 × 430.38
  4. Step 4: Simplify right side
    1,015.47x = 655,302.84
  5. Step 5: Solve for x
    x = 655,302.84/1,015.47
  6. Step 6: Final answer
    x = 645.32

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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.