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Finding the Fourth Proportional to 1,167.84, 1,742.88 and 1,038.24

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Solution

The fourth proportional to 1,167.84, 1,742.88 and 1,038.24 is: 1,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.84 : 1,742.88 = 1,038.24 : x
  2. Step 2: Convert to fraction form
    1,167.84/1,742.88 = 1,038.24/x
  3. Step 3: Cross multiply
    1,167.84x = 1,742.88 × 1,038.24
  4. Step 4: Simplify right side
    1,167.84x = 1,809,527.73
  5. Step 5: Solve for x
    x = 1,809,527.73/1,167.84
  6. Step 6: Final answer
    x = 1,549.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.