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Finding the Fourth Proportional to 877.12, 1,316.14 and 583.88

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Solution

The fourth proportional to 877.12, 1,316.14 and 583.88 is: 876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.12 : 1,316.14 = 583.88 : x
  2. Step 2: Convert to fraction form
    877.12/1,316.14 = 583.88/x
  3. Step 3: Cross multiply
    877.12x = 1,316.14 × 583.88
  4. Step 4: Simplify right side
    877.12x = 768,467.82
  5. Step 5: Solve for x
    x = 768,467.82/877.12
  6. Step 6: Final answer
    x = 876.13

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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.