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Finding the Fourth Proportional to 875.54, 1,306.86 and 802.48

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Solution

The fourth proportional to 875.54, 1,306.86 and 802.48 is: 1,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.54 : 1,306.86 = 802.48 : x
  2. Step 2: Convert to fraction form
    875.54/1,306.86 = 802.48/x
  3. Step 3: Cross multiply
    875.54x = 1,306.86 × 802.48
  4. Step 4: Simplify right side
    875.54x = 1,048,729.01
  5. Step 5: Solve for x
    x = 1,048,729.01/875.54
  6. Step 6: Final answer
    x = 1,197.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.