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Finding the Fourth Proportional to 1,307.46, 1,804.28 and 718.01

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Solution

The fourth proportional to 1,307.46, 1,804.28 and 718.01 is: 990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.46 : 1,804.28 = 718.01 : x
  2. Step 2: Convert to fraction form
    1,307.46/1,804.28 = 718.01/x
  3. Step 3: Cross multiply
    1,307.46x = 1,804.28 × 718.01
  4. Step 4: Simplify right side
    1,307.46x = 1,295,487.49
  5. Step 5: Solve for x
    x = 1,295,487.49/1,307.46
  6. Step 6: Final answer
    x = 990.84

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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.