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Finding the Fourth Proportional to 1,342.16, 2,013.00 and 368.00

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Solution

The fourth proportional to 1,342.16, 2,013.00 and 368.00 is: 551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.16 : 2,013.00 = 368.00 : x
  2. Step 2: Convert to fraction form
    1,342.16/2,013.00 = 368.00/x
  3. Step 3: Cross multiply
    1,342.16x = 2,013.00 × 368.00
  4. Step 4: Simplify right side
    1,342.16x = 740,782.17
  5. Step 5: Solve for x
    x = 740,782.17/1,342.16
  6. Step 6: Final answer
    x = 551.93

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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.