Home / 1,307.64-1,961.63-577.12

Finding the Fourth Proportional to 1,307.64, 1,961.63 and 577.12

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Solution

The fourth proportional to 1,307.64, 1,961.63 and 577.12 is: 865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,961.63 = 577.12 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,961.63 = 577.12/x
  3. Step 3: Cross multiply
    1,307.64x = 1,961.63 × 577.12
  4. Step 4: Simplify right side
    1,307.64x = 1,132,095.91
  5. Step 5: Solve for x
    x = 1,132,095.91/1,307.64
  6. Step 6: Final answer
    x = 865.76

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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.