Home / 1,061.19-1,464.51-589.13

Finding the Fourth Proportional to 1,061.19, 1,464.51 and 589.13

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Solution

The fourth proportional to 1,061.19, 1,464.51 and 589.13 is: 813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.19 : 1,464.51 = 589.13 : x
  2. Step 2: Convert to fraction form
    1,061.19/1,464.51 = 589.13/x
  3. Step 3: Cross multiply
    1,061.19x = 1,464.51 × 589.13
  4. Step 4: Simplify right side
    1,061.19x = 862,779.45
  5. Step 5: Solve for x
    x = 862,779.45/1,061.19
  6. Step 6: Final answer
    x = 813.03

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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.