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Finding the Fourth Proportional to 652.24, 982.43 and 607.16

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Solution

The fourth proportional to 652.24, 982.43 and 607.16 is: 914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 982.43 = 607.16 : x
  2. Step 2: Convert to fraction form
    652.24/982.43 = 607.16/x
  3. Step 3: Cross multiply
    652.24x = 982.43 × 607.16
  4. Step 4: Simplify right side
    652.24x = 596,492.20
  5. Step 5: Solve for x
    x = 596,492.20/652.24
  6. Step 6: Final answer
    x = 914.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.