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Finding the Fourth Proportional to 877.49, 1,313.90 and 773.69

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Solution

The fourth proportional to 877.49, 1,313.90 and 773.69 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.49 : 1,313.90 = 773.69 : x
  2. Step 2: Convert to fraction form
    877.49/1,313.90 = 773.69/x
  3. Step 3: Cross multiply
    877.49x = 1,313.90 × 773.69
  4. Step 4: Simplify right side
    877.49x = 1,016,547.42
  5. Step 5: Solve for x
    x = 1,016,547.42/877.49
  6. Step 6: Final answer
    x = 1,158.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.