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Finding the Fourth Proportional to 864.45, 1,288.47 and 841.35

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Solution

The fourth proportional to 864.45, 1,288.47 and 841.35 is: 1,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.45 : 1,288.47 = 841.35 : x
  2. Step 2: Convert to fraction form
    864.45/1,288.47 = 841.35/x
  3. Step 3: Cross multiply
    864.45x = 1,288.47 × 841.35
  4. Step 4: Simplify right side
    864.45x = 1,084,054.23
  5. Step 5: Solve for x
    x = 1,084,054.23/864.45
  6. Step 6: Final answer
    x = 1,254.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.