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Finding the Fourth Proportional to 1,537.99, 2,307.29 and 442.36

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Solution

The fourth proportional to 1,537.99, 2,307.29 and 442.36 is: 663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.99 : 2,307.29 = 442.36 : x
  2. Step 2: Convert to fraction form
    1,537.99/2,307.29 = 442.36/x
  3. Step 3: Cross multiply
    1,537.99x = 2,307.29 × 442.36
  4. Step 4: Simplify right side
    1,537.99x = 1,020,653.48
  5. Step 5: Solve for x
    x = 1,020,653.48/1,537.99
  6. Step 6: Final answer
    x = 663.63

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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.