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Finding the Fourth Proportional to 1,407.60, 2,111.70 and 714.36

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Solution

The fourth proportional to 1,407.60, 2,111.70 and 714.36 is: 1,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.60 : 2,111.70 = 714.36 : x
  2. Step 2: Convert to fraction form
    1,407.60/2,111.70 = 714.36/x
  3. Step 3: Cross multiply
    1,407.60x = 2,111.70 × 714.36
  4. Step 4: Simplify right side
    1,407.60x = 1,508,514.01
  5. Step 5: Solve for x
    x = 1,508,514.01/1,407.60
  6. Step 6: Final answer
    x = 1,071.69

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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.