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Finding the Fourth Proportional to 802.58, 1,107.84 and 500.00

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Solution

The fourth proportional to 802.58, 1,107.84 and 500.00 is: 690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.58 : 1,107.84 = 500.00 : x
  2. Step 2: Convert to fraction form
    802.58/1,107.84 = 500.00/x
  3. Step 3: Cross multiply
    802.58x = 1,107.84 × 500.00
  4. Step 4: Simplify right side
    802.58x = 553,914.46
  5. Step 5: Solve for x
    x = 553,914.46/802.58
  6. Step 6: Final answer
    x = 690.17

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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.