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Finding the Fourth Proportional to 1,023, 1,534.76 and 406.51

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Solution

The fourth proportional to 1,023, 1,534.76 and 406.51 is: 609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023 : 1,534.76 = 406.51 : x
  2. Step 2: Convert to fraction form
    1,023/1,534.76 = 406.51/x
  3. Step 3: Cross multiply
    1,023x = 1,534.76 × 406.51
  4. Step 4: Simplify right side
    1,023x = 623,895.29
  5. Step 5: Solve for x
    x = 623,895.29/1,023
  6. Step 6: Final answer
    x = 609.87

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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.