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Finding the Fourth Proportional to 1,710.40, 2,564.14 and 785.64

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Solution

The fourth proportional to 1,710.40, 2,564.14 and 785.64 is: 1,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.40 : 2,564.14 = 785.64 : x
  2. Step 2: Convert to fraction form
    1,710.40/2,564.14 = 785.64/x
  3. Step 3: Cross multiply
    1,710.40x = 2,564.14 × 785.64
  4. Step 4: Simplify right side
    1,710.40x = 2,014,490.95
  5. Step 5: Solve for x
    x = 2,014,490.95/1,710.40
  6. Step 6: Final answer
    x = 1,177.79

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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.