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Finding the Fourth Proportional to 1,111.77, 1,667.66 and 462.51

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Solution

The fourth proportional to 1,111.77, 1,667.66 and 462.51 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.77 : 1,667.66 = 462.51 : x
  2. Step 2: Convert to fraction form
    1,111.77/1,667.66 = 462.51/x
  3. Step 3: Cross multiply
    1,111.77x = 1,667.66 × 462.51
  4. Step 4: Simplify right side
    1,111.77x = 771,307.11
  5. Step 5: Solve for x
    x = 771,307.11/1,111.77
  6. Step 6: Final answer
    x = 693.77

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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.