Home / 1,528.07-2,291.39-706.10

Finding the Fourth Proportional to 1,528.07, 2,291.39 and 706.10

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Solution

The fourth proportional to 1,528.07, 2,291.39 and 706.10 is: 1,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.07 : 2,291.39 = 706.10 : x
  2. Step 2: Convert to fraction form
    1,528.07/2,291.39 = 706.10/x
  3. Step 3: Cross multiply
    1,528.07x = 2,291.39 × 706.10
  4. Step 4: Simplify right side
    1,528.07x = 1,617,950.48
  5. Step 5: Solve for x
    x = 1,617,950.48/1,528.07
  6. Step 6: Final answer
    x = 1,058.82

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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.