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Finding the Fourth Proportional to 652.52, 977.64 and 543.53

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Solution

The fourth proportional to 652.52, 977.64 and 543.53 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 977.64 = 543.53 : x
  2. Step 2: Convert to fraction form
    652.52/977.64 = 543.53/x
  3. Step 3: Cross multiply
    652.52x = 977.64 × 543.53
  4. Step 4: Simplify right side
    652.52x = 531,381.51
  5. Step 5: Solve for x
    x = 531,381.51/652.52
  6. Step 6: Final answer
    x = 814.35

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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.