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Finding the Fourth Proportional to 1,526.71, 2,290.47 and 649.25

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Solution

The fourth proportional to 1,526.71, 2,290.47 and 649.25 is: 974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.71 : 2,290.47 = 649.25 : x
  2. Step 2: Convert to fraction form
    1,526.71/2,290.47 = 649.25/x
  3. Step 3: Cross multiply
    1,526.71x = 2,290.47 × 649.25
  4. Step 4: Simplify right side
    1,526.71x = 1,487,087.65
  5. Step 5: Solve for x
    x = 1,487,087.65/1,526.71
  6. Step 6: Final answer
    x = 974.05

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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.