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Finding the Fourth Proportional to 1,537.99, 2,307.74 and 715.28

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Solution

The fourth proportional to 1,537.99, 2,307.74 and 715.28 is: 1,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.99 : 2,307.74 = 715.28 : x
  2. Step 2: Convert to fraction form
    1,537.99/2,307.74 = 715.28/x
  3. Step 3: Cross multiply
    1,537.99x = 2,307.74 × 715.28
  4. Step 4: Simplify right side
    1,537.99x = 1,650,665.15
  5. Step 5: Solve for x
    x = 1,650,665.15/1,537.99
  6. Step 6: Final answer
    x = 1,073.26

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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.