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Finding the Fourth Proportional to 1,386.45, 2,079.69 and 802.35

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Solution

The fourth proportional to 1,386.45, 2,079.69 and 802.35 is: 1,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.45 : 2,079.69 = 802.35 : x
  2. Step 2: Convert to fraction form
    1,386.45/2,079.69 = 802.35/x
  3. Step 3: Cross multiply
    1,386.45x = 2,079.69 × 802.35
  4. Step 4: Simplify right side
    1,386.45x = 1,668,639.27
  5. Step 5: Solve for x
    x = 1,668,639.27/1,386.45
  6. Step 6: Final answer
    x = 1,203.53

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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.