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Finding the Fourth Proportional to 926.00, 1,390.23 and 802.38

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Solution

The fourth proportional to 926.00, 1,390.23 and 802.38 is: 1,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.00 : 1,390.23 = 802.38 : x
  2. Step 2: Convert to fraction form
    926.00/1,390.23 = 802.38/x
  3. Step 3: Cross multiply
    926.00x = 1,390.23 × 802.38
  4. Step 4: Simplify right side
    926.00x = 1,115,492.75
  5. Step 5: Solve for x
    x = 1,115,492.75/926.00
  6. Step 6: Final answer
    x = 1,204.64

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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.