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Finding the Fourth Proportional to 1,710.14, 2,564.54 and 785.53

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Solution

The fourth proportional to 1,710.14, 2,564.54 and 785.53 is: 1,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.14 : 2,564.54 = 785.53 : x
  2. Step 2: Convert to fraction form
    1,710.14/2,564.54 = 785.53/x
  3. Step 3: Cross multiply
    1,710.14x = 2,564.54 × 785.53
  4. Step 4: Simplify right side
    1,710.14x = 2,014,506.36
  5. Step 5: Solve for x
    x = 2,014,506.36/1,710.14
  6. Step 6: Final answer
    x = 1,177.98

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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.