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Finding the Fourth Proportional to 1,334.17, 2,001.53 and 469.09

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Solution

The fourth proportional to 1,334.17, 2,001.53 and 469.09 is: 703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.17 : 2,001.53 = 469.09 : x
  2. Step 2: Convert to fraction form
    1,334.17/2,001.53 = 469.09/x
  3. Step 3: Cross multiply
    1,334.17x = 2,001.53 × 469.09
  4. Step 4: Simplify right side
    1,334.17x = 938,897.71
  5. Step 5: Solve for x
    x = 938,897.71/1,334.17
  6. Step 6: Final answer
    x = 703.73

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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.