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Finding the Fourth Proportional to 1,307.73, 1,804.62 and 718.23

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Solution

The fourth proportional to 1,307.73, 1,804.62 and 718.23 is: 991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.73 : 1,804.62 = 718.23 : x
  2. Step 2: Convert to fraction form
    1,307.73/1,804.62 = 718.23/x
  3. Step 3: Cross multiply
    1,307.73x = 1,804.62 × 718.23
  4. Step 4: Simplify right side
    1,307.73x = 1,296,132.22
  5. Step 5: Solve for x
    x = 1,296,132.22/1,307.73
  6. Step 6: Final answer
    x = 991.13

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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.