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Finding the Fourth Proportional to 877.83, 1,210.71 and 546.13

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Solution

The fourth proportional to 877.83, 1,210.71 and 546.13 is: 753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.83 : 1,210.71 = 546.13 : x
  2. Step 2: Convert to fraction form
    877.83/1,210.71 = 546.13/x
  3. Step 3: Cross multiply
    877.83x = 1,210.71 × 546.13
  4. Step 4: Simplify right side
    877.83x = 661,205.05
  5. Step 5: Solve for x
    x = 661,205.05/877.83
  6. Step 6: Final answer
    x = 753.23

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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.