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Finding the Fourth Proportional to 1,281.65, 1,921.50 and 588.52

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Solution

The fourth proportional to 1,281.65, 1,921.50 and 588.52 is: 882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.65 : 1,921.50 = 588.52 : x
  2. Step 2: Convert to fraction form
    1,281.65/1,921.50 = 588.52/x
  3. Step 3: Cross multiply
    1,281.65x = 1,921.50 × 588.52
  4. Step 4: Simplify right side
    1,281.65x = 1,130,841.18
  5. Step 5: Solve for x
    x = 1,130,841.18/1,281.65
  6. Step 6: Final answer
    x = 882.33

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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.