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Finding the Fourth Proportional to 1,407.59, 2,109.93 and 529.92

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Solution

The fourth proportional to 1,407.59, 2,109.93 and 529.92 is: 794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.59 : 2,109.93 = 529.92 : x
  2. Step 2: Convert to fraction form
    1,407.59/2,109.93 = 529.92/x
  3. Step 3: Cross multiply
    1,407.59x = 2,109.93 × 529.92
  4. Step 4: Simplify right side
    1,407.59x = 1,118,099.38
  5. Step 5: Solve for x
    x = 1,118,099.38/1,407.59
  6. Step 6: Final answer
    x = 794.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.