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Finding the Fourth Proportional to 1,307.68, 1,804.74 and 718.26

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Solution

The fourth proportional to 1,307.68, 1,804.74 and 718.26 is: 991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.68 : 1,804.74 = 718.26 : x
  2. Step 2: Convert to fraction form
    1,307.68/1,804.74 = 718.26/x
  3. Step 3: Cross multiply
    1,307.68x = 1,804.74 × 718.26
  4. Step 4: Simplify right side
    1,307.68x = 1,296,272.55
  5. Step 5: Solve for x
    x = 1,296,272.55/1,307.68
  6. Step 6: Final answer
    x = 991.28

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1.5x scale

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.