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Finding the Fourth Proportional to 1,526.49, 2,290.46 and 833.13

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Solution

The fourth proportional to 1,526.49, 2,290.46 and 833.13 is: 1,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.49 : 2,290.46 = 833.13 : x
  2. Step 2: Convert to fraction form
    1,526.49/2,290.46 = 833.13/x
  3. Step 3: Cross multiply
    1,526.49x = 2,290.46 × 833.13
  4. Step 4: Simplify right side
    1,526.49x = 1,908,246.77
  5. Step 5: Solve for x
    x = 1,908,246.77/1,526.49
  6. Step 6: Final answer
    x = 1,250.09

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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.