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Finding the Fourth Proportional to 1,526.47, 2,288.13 and 601.65

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Solution

The fourth proportional to 1,526.47, 2,288.13 and 601.65 is: 901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.47 : 2,288.13 = 601.65 : x
  2. Step 2: Convert to fraction form
    1,526.47/2,288.13 = 601.65/x
  3. Step 3: Cross multiply
    1,526.47x = 2,288.13 × 601.65
  4. Step 4: Simplify right side
    1,526.47x = 1,376,653.41
  5. Step 5: Solve for x
    x = 1,376,653.41/1,526.47
  6. Step 6: Final answer
    x = 901.86

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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.