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Finding the Fourth Proportional to 1,134.14, 1,699.67 and 802.50

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Solution

The fourth proportional to 1,134.14, 1,699.67 and 802.50 is: 1,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.14 : 1,699.67 = 802.50 : x
  2. Step 2: Convert to fraction form
    1,134.14/1,699.67 = 802.50/x
  3. Step 3: Cross multiply
    1,134.14x = 1,699.67 × 802.50
  4. Step 4: Simplify right side
    1,134.14x = 1,363,985.18
  5. Step 5: Solve for x
    x = 1,363,985.18/1,134.14
  6. Step 6: Final answer
    x = 1,202.66

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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.