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Finding the Fourth Proportional to 526.39, 785.60 and 514.09

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Solution

The fourth proportional to 526.39, 785.60 and 514.09 is: 767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.39 : 785.60 = 514.09 : x
  2. Step 2: Convert to fraction form
    526.39/785.60 = 514.09/x
  3. Step 3: Cross multiply
    526.39x = 785.60 × 514.09
  4. Step 4: Simplify right side
    526.39x = 403,869.10
  5. Step 5: Solve for x
    x = 403,869.10/526.39
  6. Step 6: Final answer
    x = 767.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.