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Finding the Fourth Proportional to 1,111.34, 1,533.62 and 607.18

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Solution

The fourth proportional to 1,111.34, 1,533.62 and 607.18 is: 837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.34 : 1,533.62 = 607.18 : x
  2. Step 2: Convert to fraction form
    1,111.34/1,533.62 = 607.18/x
  3. Step 3: Cross multiply
    1,111.34x = 1,533.62 × 607.18
  4. Step 4: Simplify right side
    1,111.34x = 931,172.69
  5. Step 5: Solve for x
    x = 931,172.69/1,111.34
  6. Step 6: Final answer
    x = 837.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.