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Finding the Fourth Proportional to 1,708.95, 2,564.00 and 722.00

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Solution

The fourth proportional to 1,708.95, 2,564.00 and 722.00 is: 1,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.95 : 2,564.00 = 722.00 : x
  2. Step 2: Convert to fraction form
    1,708.95/2,564.00 = 722.00/x
  3. Step 3: Cross multiply
    1,708.95x = 2,564.00 × 722.00
  4. Step 4: Simplify right side
    1,708.95x = 1,851,216.22
  5. Step 5: Solve for x
    x = 1,851,216.22/1,708.95
  6. Step 6: Final answer
    x = 1,083.25

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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.