Home / 1,055.37-1,583.40-507.48

Finding the Fourth Proportional to 1,055.37, 1,583.40 and 507.48

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Solution

The fourth proportional to 1,055.37, 1,583.40 and 507.48 is: 761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.37 : 1,583.40 = 507.48 : x
  2. Step 2: Convert to fraction form
    1,055.37/1,583.40 = 507.48/x
  3. Step 3: Cross multiply
    1,055.37x = 1,583.40 × 507.48
  4. Step 4: Simplify right side
    1,055.37x = 803,545.85
  5. Step 5: Solve for x
    x = 803,545.85/1,055.37
  6. Step 6: Final answer
    x = 761.39

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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.