Home / 1,027.23-1,417.64-607.83

Finding the Fourth Proportional to 1,027.23, 1,417.64 and 607.83

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Solution

The fourth proportional to 1,027.23, 1,417.64 and 607.83 is: 838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.23 : 1,417.64 = 607.83 : x
  2. Step 2: Convert to fraction form
    1,027.23/1,417.64 = 607.83/x
  3. Step 3: Cross multiply
    1,027.23x = 1,417.64 × 607.83
  4. Step 4: Simplify right side
    1,027.23x = 861,681.08
  5. Step 5: Solve for x
    x = 861,681.08/1,027.23
  6. Step 6: Final answer
    x = 838.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.