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Finding the Fourth Proportional to 864.88, 1,192.70 and 581.93

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Solution

The fourth proportional to 864.88, 1,192.70 and 581.93 is: 802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.88 : 1,192.70 = 581.93 : x
  2. Step 2: Convert to fraction form
    864.88/1,192.70 = 581.93/x
  3. Step 3: Cross multiply
    864.88x = 1,192.70 × 581.93
  4. Step 4: Simplify right side
    864.88x = 694,065.00
  5. Step 5: Solve for x
    x = 694,065.00/864.88
  6. Step 6: Final answer
    x = 802.50

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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.