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Finding the Fourth Proportional to 1,342.93, 2,014.16 and 368.80

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Solution

The fourth proportional to 1,342.93, 2,014.16 and 368.80 is: 553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.93 : 2,014.16 = 368.80 : x
  2. Step 2: Convert to fraction form
    1,342.93/2,014.16 = 368.80/x
  3. Step 3: Cross multiply
    1,342.93x = 2,014.16 × 368.80
  4. Step 4: Simplify right side
    1,342.93x = 742,810.29
  5. Step 5: Solve for x
    x = 742,810.29/1,342.93
  6. Step 6: Final answer
    x = 553.13

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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.