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Finding the Fourth Proportional to 886.02, 1,218.64 and 710.98

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Solution

The fourth proportional to 886.02, 1,218.64 and 710.98 is: 977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.02 : 1,218.64 = 710.98 : x
  2. Step 2: Convert to fraction form
    886.02/1,218.64 = 710.98/x
  3. Step 3: Cross multiply
    886.02x = 1,218.64 × 710.98
  4. Step 4: Simplify right side
    886.02x = 866,428.67
  5. Step 5: Solve for x
    x = 866,428.67/886.02
  6. Step 6: Final answer
    x = 977.89

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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.