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Finding the Fourth Proportional to 1,108.18, 1,529.04 and 666.01

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Solution

The fourth proportional to 1,108.18, 1,529.04 and 666.01 is: 918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.18 : 1,529.04 = 666.01 : x
  2. Step 2: Convert to fraction form
    1,108.18/1,529.04 = 666.01/x
  3. Step 3: Cross multiply
    1,108.18x = 1,529.04 × 666.01
  4. Step 4: Simplify right side
    1,108.18x = 1,018,355.93
  5. Step 5: Solve for x
    x = 1,018,355.93/1,108.18
  6. Step 6: Final answer
    x = 918.94

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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.