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Finding the Fourth Proportional to 877.30, 1,210.34 and 641.69

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Solution

The fourth proportional to 877.30, 1,210.34 and 641.69 is: 885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.30 : 1,210.34 = 641.69 : x
  2. Step 2: Convert to fraction form
    877.30/1,210.34 = 641.69/x
  3. Step 3: Cross multiply
    877.30x = 1,210.34 × 641.69
  4. Step 4: Simplify right side
    877.30x = 776,663.17
  5. Step 5: Solve for x
    x = 776,663.17/877.30
  6. Step 6: Final answer
    x = 885.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.