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Finding the Fourth Proportional to 1,407.49, 2,109.73 and 714.67

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Solution

The fourth proportional to 1,407.49, 2,109.73 and 714.67 is: 1,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.49 : 2,109.73 = 714.67 : x
  2. Step 2: Convert to fraction form
    1,407.49/2,109.73 = 714.67/x
  3. Step 3: Cross multiply
    1,407.49x = 2,109.73 × 714.67
  4. Step 4: Simplify right side
    1,407.49x = 1,507,760.74
  5. Step 5: Solve for x
    x = 1,507,760.74/1,407.49
  6. Step 6: Final answer
    x = 1,071.24

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1.5x scale

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.