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Finding the Fourth Proportional to 1,404.63, 1,938.23 and 807.14

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Solution

The fourth proportional to 1,404.63, 1,938.23 and 807.14 is: 1,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.63 : 1,938.23 = 807.14 : x
  2. Step 2: Convert to fraction form
    1,404.63/1,938.23 = 807.14/x
  3. Step 3: Cross multiply
    1,404.63x = 1,938.23 × 807.14
  4. Step 4: Simplify right side
    1,404.63x = 1,564,421.35
  5. Step 5: Solve for x
    x = 1,564,421.35/1,404.63
  6. Step 6: Final answer
    x = 1,113.76

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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.