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Finding the Fourth Proportional to 1,537.97, 2,307.05 and 564.75

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Solution

The fourth proportional to 1,537.97, 2,307.05 and 564.75 is: 847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.97 : 2,307.05 = 564.75 : x
  2. Step 2: Convert to fraction form
    1,537.97/2,307.05 = 564.75/x
  3. Step 3: Cross multiply
    1,537.97x = 2,307.05 × 564.75
  4. Step 4: Simplify right side
    1,537.97x = 1,302,913.67
  5. Step 5: Solve for x
    x = 1,302,913.67/1,537.97
  6. Step 6: Final answer
    x = 847.17

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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.