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Finding the Fourth Proportional to 762.84, 1,057.95 and 715.32

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Solution

The fourth proportional to 762.84, 1,057.95 and 715.32 is: 992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.84 : 1,057.95 = 715.32 : x
  2. Step 2: Convert to fraction form
    762.84/1,057.95 = 715.32/x
  3. Step 3: Cross multiply
    762.84x = 1,057.95 × 715.32
  4. Step 4: Simplify right side
    762.84x = 756,772.79
  5. Step 5: Solve for x
    x = 756,772.79/762.84
  6. Step 6: Final answer
    x = 992.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.