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Finding the Fourth Proportional to 1,092.84, 1,507.68 and 719.34

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Solution

The fourth proportional to 1,092.84, 1,507.68 and 719.34 is: 992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.84 : 1,507.68 = 719.34 : x
  2. Step 2: Convert to fraction form
    1,092.84/1,507.68 = 719.34/x
  3. Step 3: Cross multiply
    1,092.84x = 1,507.68 × 719.34
  4. Step 4: Simplify right side
    1,092.84x = 1,084,534.53
  5. Step 5: Solve for x
    x = 1,084,534.53/1,092.84
  6. Step 6: Final answer
    x = 992.40

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1.5x scale

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.