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Finding the Fourth Proportional to 877.61, 1,210.96 and 499.44

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Solution

The fourth proportional to 877.61, 1,210.96 and 499.44 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.61 : 1,210.96 = 499.44 : x
  2. Step 2: Convert to fraction form
    877.61/1,210.96 = 499.44/x
  3. Step 3: Cross multiply
    877.61x = 1,210.96 × 499.44
  4. Step 4: Simplify right side
    877.61x = 604,800.61
  5. Step 5: Solve for x
    x = 604,800.61/877.61
  6. Step 6: Final answer
    x = 689.14

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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.