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Finding the Fourth Proportional to 802.53, 1,203.96 and 456.03

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Solution

The fourth proportional to 802.53, 1,203.96 and 456.03 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.53 : 1,203.96 = 456.03 : x
  2. Step 2: Convert to fraction form
    802.53/1,203.96 = 456.03/x
  3. Step 3: Cross multiply
    802.53x = 1,203.96 × 456.03
  4. Step 4: Simplify right side
    802.53x = 549,040.74
  5. Step 5: Solve for x
    x = 549,040.74/802.53
  6. Step 6: Final answer
    x = 684.14

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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.