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Finding the Fourth Proportional to 1,342.84, 1,853.68 and 783.84

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Solution

The fourth proportional to 1,342.84, 1,853.68 and 783.84 is: 1,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.84 : 1,853.68 = 783.84 : x
  2. Step 2: Convert to fraction form
    1,342.84/1,853.68 = 783.84/x
  3. Step 3: Cross multiply
    1,342.84x = 1,853.68 × 783.84
  4. Step 4: Simplify right side
    1,342.84x = 1,452,988.53
  5. Step 5: Solve for x
    x = 1,452,988.53/1,342.84
  6. Step 6: Final answer
    x = 1,082.03

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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.