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Finding the Fourth Proportional to 1,024.67, 1,537.14 and 476.93

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Solution

The fourth proportional to 1,024.67, 1,537.14 and 476.93 is: 715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.67 : 1,537.14 = 476.93 : x
  2. Step 2: Convert to fraction form
    1,024.67/1,537.14 = 476.93/x
  3. Step 3: Cross multiply
    1,024.67x = 1,537.14 × 476.93
  4. Step 4: Simplify right side
    1,024.67x = 733,108.18
  5. Step 5: Solve for x
    x = 733,108.18/1,024.67
  6. Step 6: Final answer
    x = 715.46

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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.