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Finding the Fourth Proportional to 877.64, 1,210.28 and 641.25

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Solution

The fourth proportional to 877.64, 1,210.28 and 641.25 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.64 : 1,210.28 = 641.25 : x
  2. Step 2: Convert to fraction form
    877.64/1,210.28 = 641.25/x
  3. Step 3: Cross multiply
    877.64x = 1,210.28 × 641.25
  4. Step 4: Simplify right side
    877.64x = 776,088.84
  5. Step 5: Solve for x
    x = 776,088.84/877.64
  6. Step 6: Final answer
    x = 884.30

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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.