Home / 1,029.28-1,541.60-566.32

Finding the Fourth Proportional to 1,029.28, 1,541.60 and 566.32

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Solution

The fourth proportional to 1,029.28, 1,541.60 and 566.32 is: 848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.28 : 1,541.60 = 566.32 : x
  2. Step 2: Convert to fraction form
    1,029.28/1,541.60 = 566.32/x
  3. Step 3: Cross multiply
    1,029.28x = 1,541.60 × 566.32
  4. Step 4: Simplify right side
    1,029.28x = 873,038.91
  5. Step 5: Solve for x
    x = 873,038.91/1,029.28
  6. Step 6: Final answer
    x = 848.20

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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.