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Finding the Fourth Proportional to 1,412.04, 1,948.64 and 782.60

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Solution

The fourth proportional to 1,412.04, 1,948.64 and 782.60 is: 1,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.04 : 1,948.64 = 782.60 : x
  2. Step 2: Convert to fraction form
    1,412.04/1,948.64 = 782.60/x
  3. Step 3: Cross multiply
    1,412.04x = 1,948.64 × 782.60
  4. Step 4: Simplify right side
    1,412.04x = 1,525,005.66
  5. Step 5: Solve for x
    x = 1,525,005.66/1,412.04
  6. Step 6: Final answer
    x = 1,080.00

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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.