Home / 1,087.28-1,631.40-510.64

Finding the Fourth Proportional to 1,087.28, 1,631.40 and 510.64

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Solution

The fourth proportional to 1,087.28, 1,631.40 and 510.64 is: 766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.28 : 1,631.40 = 510.64 : x
  2. Step 2: Convert to fraction form
    1,087.28/1,631.40 = 510.64/x
  3. Step 3: Cross multiply
    1,087.28x = 1,631.40 × 510.64
  4. Step 4: Simplify right side
    1,087.28x = 833,058.10
  5. Step 5: Solve for x
    x = 833,058.10/1,087.28
  6. Step 6: Final answer
    x = 766.19

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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.