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Finding the Fourth Proportional to 802.98, 1,204.47 and 340.65

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Solution

The fourth proportional to 802.98, 1,204.47 and 340.65 is: 510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.98 : 1,204.47 = 340.65 : x
  2. Step 2: Convert to fraction form
    802.98/1,204.47 = 340.65/x
  3. Step 3: Cross multiply
    802.98x = 1,204.47 × 340.65
  4. Step 4: Simplify right side
    802.98x = 410,302.71
  5. Step 5: Solve for x
    x = 410,302.71/802.98
  6. Step 6: Final answer
    x = 510.98

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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.