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Finding the Fourth Proportional to 652.08, 977.40 and 514.24

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Solution

The fourth proportional to 652.08, 977.40 and 514.24 is: 770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 977.40 = 514.24 : x
  2. Step 2: Convert to fraction form
    652.08/977.40 = 514.24/x
  3. Step 3: Cross multiply
    652.08x = 977.40 × 514.24
  4. Step 4: Simplify right side
    652.08x = 502,618.18
  5. Step 5: Solve for x
    x = 502,618.18/652.08
  6. Step 6: Final answer
    x = 770.79

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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.