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Finding the Fourth Proportional to 716.54, 988.55 and 507.08

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Solution

The fourth proportional to 716.54, 988.55 and 507.08 is: 699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.54 : 988.55 = 507.08 : x
  2. Step 2: Convert to fraction form
    716.54/988.55 = 507.08/x
  3. Step 3: Cross multiply
    716.54x = 988.55 × 507.08
  4. Step 4: Simplify right side
    716.54x = 501,266.46
  5. Step 5: Solve for x
    x = 501,266.46/716.54
  6. Step 6: Final answer
    x = 699.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.