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Finding the Fourth Proportional to 1,313.58, 1,812.54 and 782.30

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Solution

The fourth proportional to 1,313.58, 1,812.54 and 782.30 is: 1,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.58 : 1,812.54 = 782.30 : x
  2. Step 2: Convert to fraction form
    1,313.58/1,812.54 = 782.30/x
  3. Step 3: Cross multiply
    1,313.58x = 1,812.54 × 782.30
  4. Step 4: Simplify right side
    1,313.58x = 1,417,950.04
  5. Step 5: Solve for x
    x = 1,417,950.04/1,313.58
  6. Step 6: Final answer
    x = 1,079.45

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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.