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Finding the Fourth Proportional to 1,802.33, 2,703.40 and 632.39

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Solution

The fourth proportional to 1,802.33, 2,703.40 and 632.39 is: 948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.33 : 2,703.40 = 632.39 : x
  2. Step 2: Convert to fraction form
    1,802.33/2,703.40 = 632.39/x
  3. Step 3: Cross multiply
    1,802.33x = 2,703.40 × 632.39
  4. Step 4: Simplify right side
    1,802.33x = 1,709,598.17
  5. Step 5: Solve for x
    x = 1,709,598.17/1,802.33
  6. Step 6: Final answer
    x = 948.55

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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.