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Finding the Fourth Proportional to 1,244.09, 1,715.64 and 802.13

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Solution

The fourth proportional to 1,244.09, 1,715.64 and 802.13 is: 1,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.09 : 1,715.64 = 802.13 : x
  2. Step 2: Convert to fraction form
    1,244.09/1,715.64 = 802.13/x
  3. Step 3: Cross multiply
    1,244.09x = 1,715.64 × 802.13
  4. Step 4: Simplify right side
    1,244.09x = 1,376,157.74
  5. Step 5: Solve for x
    x = 1,376,157.74/1,244.09
  6. Step 6: Final answer
    x = 1,106.16

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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.