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Finding the Fourth Proportional to 718.10, 1,071.40 and 640.14

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Solution

The fourth proportional to 718.10, 1,071.40 and 640.14 is: 955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.10 : 1,071.40 = 640.14 : x
  2. Step 2: Convert to fraction form
    718.10/1,071.40 = 640.14/x
  3. Step 3: Cross multiply
    718.10x = 1,071.40 × 640.14
  4. Step 4: Simplify right side
    718.10x = 685,846.00
  5. Step 5: Solve for x
    x = 685,846.00/718.10
  6. Step 6: Final answer
    x = 955.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.