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Finding the Fourth Proportional to 1,397.04, 1,927.92 and 807.60

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Solution

The fourth proportional to 1,397.04, 1,927.92 and 807.60 is: 1,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.04 : 1,927.92 = 807.60 : x
  2. Step 2: Convert to fraction form
    1,397.04/1,927.92 = 807.60/x
  3. Step 3: Cross multiply
    1,397.04x = 1,927.92 × 807.60
  4. Step 4: Simplify right side
    1,397.04x = 1,556,988.19
  5. Step 5: Solve for x
    x = 1,556,988.19/1,397.04
  6. Step 6: Final answer
    x = 1,114.49

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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.