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Finding the Fourth Proportional to 758.63, 1,137.16 and 549.89

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Solution

The fourth proportional to 758.63, 1,137.16 and 549.89 is: 824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.63 : 1,137.16 = 549.89 : x
  2. Step 2: Convert to fraction form
    758.63/1,137.16 = 549.89/x
  3. Step 3: Cross multiply
    758.63x = 1,137.16 × 549.89
  4. Step 4: Simplify right side
    758.63x = 625,307.23
  5. Step 5: Solve for x
    x = 625,307.23/758.63
  6. Step 6: Final answer
    x = 824.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.