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Finding the Fourth Proportional to 1,111.02, 1,533.54 and 761.64

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Solution

The fourth proportional to 1,111.02, 1,533.54 and 761.64 is: 1,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.02 : 1,533.54 = 761.64 : x
  2. Step 2: Convert to fraction form
    1,111.02/1,533.54 = 761.64/x
  3. Step 3: Cross multiply
    1,111.02x = 1,533.54 × 761.64
  4. Step 4: Simplify right side
    1,111.02x = 1,168,005.41
  5. Step 5: Solve for x
    x = 1,168,005.41/1,111.02
  6. Step 6: Final answer
    x = 1,051.29

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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.