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Finding the Fourth Proportional to 1,525.40, 2,288.70 and 909.40

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Solution

The fourth proportional to 1,525.40, 2,288.70 and 909.40 is: 1,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.40 : 2,288.70 = 909.40 : x
  2. Step 2: Convert to fraction form
    1,525.40/2,288.70 = 909.40/x
  3. Step 3: Cross multiply
    1,525.40x = 2,288.70 × 909.40
  4. Step 4: Simplify right side
    1,525.40x = 2,081,343.78
  5. Step 5: Solve for x
    x = 2,081,343.78/1,525.40
  6. Step 6: Final answer
    x = 1,364.46

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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.