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Finding the Fourth Proportional to 810.15, 1,117.40 and 686.49

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Solution

The fourth proportional to 810.15, 1,117.40 and 686.49 is: 946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.15 : 1,117.40 = 686.49 : x
  2. Step 2: Convert to fraction form
    810.15/1,117.40 = 686.49/x
  3. Step 3: Cross multiply
    810.15x = 1,117.40 × 686.49
  4. Step 4: Simplify right side
    810.15x = 767,080.49
  5. Step 5: Solve for x
    x = 767,080.49/810.15
  6. Step 6: Final answer
    x = 946.84

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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.