Home / 1,178.04-1,762.96-946.36

Finding the Fourth Proportional to 1,178.04, 1,762.96 and 946.36

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Solution

The fourth proportional to 1,178.04, 1,762.96 and 946.36 is: 1,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.04 : 1,762.96 = 946.36 : x
  2. Step 2: Convert to fraction form
    1,178.04/1,762.96 = 946.36/x
  3. Step 3: Cross multiply
    1,178.04x = 1,762.96 × 946.36
  4. Step 4: Simplify right side
    1,178.04x = 1,668,394.83
  5. Step 5: Solve for x
    x = 1,668,394.83/1,178.04
  6. Step 6: Final answer
    x = 1,416.25

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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.