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Finding the Fourth Proportional to 941.55, 1,298.32 and 802.14

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Solution

The fourth proportional to 941.55, 1,298.32 and 802.14 is: 1,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.55 : 1,298.32 = 802.14 : x
  2. Step 2: Convert to fraction form
    941.55/1,298.32 = 802.14/x
  3. Step 3: Cross multiply
    941.55x = 1,298.32 × 802.14
  4. Step 4: Simplify right side
    941.55x = 1,041,434.40
  5. Step 5: Solve for x
    x = 1,041,434.40/941.55
  6. Step 6: Final answer
    x = 1,106.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.