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Finding the Fourth Proportional to 1,298.36, 1,946.58 and 785.24

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Solution

The fourth proportional to 1,298.36, 1,946.58 and 785.24 is: 1,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.36 : 1,946.58 = 785.24 : x
  2. Step 2: Convert to fraction form
    1,298.36/1,946.58 = 785.24/x
  3. Step 3: Cross multiply
    1,298.36x = 1,946.58 × 785.24
  4. Step 4: Simplify right side
    1,298.36x = 1,528,532.48
  5. Step 5: Solve for x
    x = 1,528,532.48/1,298.36
  6. Step 6: Final answer
    x = 1,177.28

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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.