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Finding the Fourth Proportional to 1,514.40, 2,271.68 and 785.40

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Solution

The fourth proportional to 1,514.40, 2,271.68 and 785.40 is: 1,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.40 : 2,271.68 = 785.40 : x
  2. Step 2: Convert to fraction form
    1,514.40/2,271.68 = 785.40/x
  3. Step 3: Cross multiply
    1,514.40x = 2,271.68 × 785.40
  4. Step 4: Simplify right side
    1,514.40x = 1,784,173.55
  5. Step 5: Solve for x
    x = 1,784,173.55/1,514.40
  6. Step 6: Final answer
    x = 1,178.14

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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.