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Finding the Fourth Proportional to 877.81, 1,210.59 and 625.24

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Solution

The fourth proportional to 877.81, 1,210.59 and 625.24 is: 862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.81 : 1,210.59 = 625.24 : x
  2. Step 2: Convert to fraction form
    877.81/1,210.59 = 625.24/x
  3. Step 3: Cross multiply
    877.81x = 1,210.59 × 625.24
  4. Step 4: Simplify right side
    877.81x = 756,909.29
  5. Step 5: Solve for x
    x = 756,909.29/877.81
  6. Step 6: Final answer
    x = 862.27

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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.