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Finding the Fourth Proportional to 1,752.75, 2,629.40 and 598.77

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Solution

The fourth proportional to 1,752.75, 2,629.40 and 598.77 is: 898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.75 : 2,629.40 = 598.77 : x
  2. Step 2: Convert to fraction form
    1,752.75/2,629.40 = 598.77/x
  3. Step 3: Cross multiply
    1,752.75x = 2,629.40 × 598.77
  4. Step 4: Simplify right side
    1,752.75x = 1,574,402.84
  5. Step 5: Solve for x
    x = 1,574,402.84/1,752.75
  6. Step 6: Final answer
    x = 898.25

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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.