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Finding the Fourth Proportional to 802.30, 1,203.45 and 437.80

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Solution

The fourth proportional to 802.30, 1,203.45 and 437.80 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.30 : 1,203.45 = 437.80 : x
  2. Step 2: Convert to fraction form
    802.30/1,203.45 = 437.80/x
  3. Step 3: Cross multiply
    802.30x = 1,203.45 × 437.80
  4. Step 4: Simplify right side
    802.30x = 526,870.41
  5. Step 5: Solve for x
    x = 526,870.41/802.30
  6. Step 6: Final answer
    x = 656.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.