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Finding the Fourth Proportional to 918.61, 1,265.83 and 656.17

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Solution

The fourth proportional to 918.61, 1,265.83 and 656.17 is: 904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.61 : 1,265.83 = 656.17 : x
  2. Step 2: Convert to fraction form
    918.61/1,265.83 = 656.17/x
  3. Step 3: Cross multiply
    918.61x = 1,265.83 × 656.17
  4. Step 4: Simplify right side
    918.61x = 830,599.67
  5. Step 5: Solve for x
    x = 830,599.67/918.61
  6. Step 6: Final answer
    x = 904.19

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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.