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Finding the Fourth Proportional to 810.63, 1,116.42 and 700.07

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Solution

The fourth proportional to 810.63, 1,116.42 and 700.07 is: 964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.63 : 1,116.42 = 700.07 : x
  2. Step 2: Convert to fraction form
    810.63/1,116.42 = 700.07/x
  3. Step 3: Cross multiply
    810.63x = 1,116.42 × 700.07
  4. Step 4: Simplify right side
    810.63x = 781,566.57
  5. Step 5: Solve for x
    x = 781,566.57/810.63
  6. Step 6: Final answer
    x = 964.15

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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.