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Finding the Fourth Proportional to 1,326.40, 1,830.54 and 802.24

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Solution

The fourth proportional to 1,326.40, 1,830.54 and 802.24 is: 1,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.40 : 1,830.54 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,326.40/1,830.54 = 802.24/x
  3. Step 3: Cross multiply
    1,326.40x = 1,830.54 × 802.24
  4. Step 4: Simplify right side
    1,326.40x = 1,468,532.41
  5. Step 5: Solve for x
    x = 1,468,532.41/1,326.40
  6. Step 6: Final answer
    x = 1,107.16

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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.