Home / 1,064.30-1,594.47-577.76

Finding the Fourth Proportional to 1,064.30, 1,594.47 and 577.76

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Solution

The fourth proportional to 1,064.30, 1,594.47 and 577.76 is: 865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.30 : 1,594.47 = 577.76 : x
  2. Step 2: Convert to fraction form
    1,064.30/1,594.47 = 577.76/x
  3. Step 3: Cross multiply
    1,064.30x = 1,594.47 × 577.76
  4. Step 4: Simplify right side
    1,064.30x = 921,220.99
  5. Step 5: Solve for x
    x = 921,220.99/1,064.30
  6. Step 6: Final answer
    x = 865.57

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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.