Home / 1,410.34-2,115.69-716.77

Finding the Fourth Proportional to 1,410.34, 2,115.69 and 716.77

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Solution

The fourth proportional to 1,410.34, 2,115.69 and 716.77 is: 1,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.34 : 2,115.69 = 716.77 : x
  2. Step 2: Convert to fraction form
    1,410.34/2,115.69 = 716.77/x
  3. Step 3: Cross multiply
    1,410.34x = 2,115.69 × 716.77
  4. Step 4: Simplify right side
    1,410.34x = 1,516,463.12
  5. Step 5: Solve for x
    x = 1,516,463.12/1,410.34
  6. Step 6: Final answer
    x = 1,075.25

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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.