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Finding the Fourth Proportional to 875.22, 1,314.48 and 802.98

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Solution

The fourth proportional to 875.22, 1,314.48 and 802.98 is: 1,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.22 : 1,314.48 = 802.98 : x
  2. Step 2: Convert to fraction form
    875.22/1,314.48 = 802.98/x
  3. Step 3: Cross multiply
    875.22x = 1,314.48 × 802.98
  4. Step 4: Simplify right side
    875.22x = 1,055,501.15
  5. Step 5: Solve for x
    x = 1,055,501.15/875.22
  6. Step 6: Final answer
    x = 1,205.98

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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.