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Finding the Fourth Proportional to 1,024.89, 1,536.54 and 476.67

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Solution

The fourth proportional to 1,024.89, 1,536.54 and 476.67 is: 714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.89 : 1,536.54 = 476.67 : x
  2. Step 2: Convert to fraction form
    1,024.89/1,536.54 = 476.67/x
  3. Step 3: Cross multiply
    1,024.89x = 1,536.54 × 476.67
  4. Step 4: Simplify right side
    1,024.89x = 732,422.52
  5. Step 5: Solve for x
    x = 732,422.52/1,024.89
  6. Step 6: Final answer
    x = 714.64

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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.