Home / 1,027.10-1,417.51-584.93

Finding the Fourth Proportional to 1,027.10, 1,417.51 and 584.93

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Solution

The fourth proportional to 1,027.10, 1,417.51 and 584.93 is: 807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.10 : 1,417.51 = 584.93 : x
  2. Step 2: Convert to fraction form
    1,027.10/1,417.51 = 584.93/x
  3. Step 3: Cross multiply
    1,027.10x = 1,417.51 × 584.93
  4. Step 4: Simplify right side
    1,027.10x = 829,144.12
  5. Step 5: Solve for x
    x = 829,144.12/1,027.10
  6. Step 6: Final answer
    x = 807.27

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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.