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Finding the Fourth Proportional to 583.88, 877.10 and 560.45

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Solution

The fourth proportional to 583.88, 877.10 and 560.45 is: 841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 877.10 = 560.45 : x
  2. Step 2: Convert to fraction form
    583.88/877.10 = 560.45/x
  3. Step 3: Cross multiply
    583.88x = 877.10 × 560.45
  4. Step 4: Simplify right side
    583.88x = 491,570.09
  5. Step 5: Solve for x
    x = 491,570.09/583.88
  6. Step 6: Final answer
    x = 841.91

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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.