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Finding the Fourth Proportional to 1,537.89, 2,307.51 and 807.29

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Solution

The fourth proportional to 1,537.89, 2,307.51 and 807.29 is: 1,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.89 : 2,307.51 = 807.29 : x
  2. Step 2: Convert to fraction form
    1,537.89/2,307.51 = 807.29/x
  3. Step 3: Cross multiply
    1,537.89x = 2,307.51 × 807.29
  4. Step 4: Simplify right side
    1,537.89x = 1,862,829.75
  5. Step 5: Solve for x
    x = 1,862,829.75/1,537.89
  6. Step 6: Final answer
    x = 1,211.29

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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.