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Finding the Fourth Proportional to 1,453.77, 2,180.93 and 588.08

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Solution

The fourth proportional to 1,453.77, 2,180.93 and 588.08 is: 882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.77 : 2,180.93 = 588.08 : x
  2. Step 2: Convert to fraction form
    1,453.77/2,180.93 = 588.08/x
  3. Step 3: Cross multiply
    1,453.77x = 2,180.93 × 588.08
  4. Step 4: Simplify right side
    1,453.77x = 1,282,547.47
  5. Step 5: Solve for x
    x = 1,282,547.47/1,453.77
  6. Step 6: Final answer
    x = 882.22

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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.