Home / 1,046.98-1,569.32-526.15

Finding the Fourth Proportional to 1,046.98, 1,569.32 and 526.15

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Solution

The fourth proportional to 1,046.98, 1,569.32 and 526.15 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.98 : 1,569.32 = 526.15 : x
  2. Step 2: Convert to fraction form
    1,046.98/1,569.32 = 526.15/x
  3. Step 3: Cross multiply
    1,046.98x = 1,569.32 × 526.15
  4. Step 4: Simplify right side
    1,046.98x = 825,687.24
  5. Step 5: Solve for x
    x = 825,687.24/1,046.98
  6. Step 6: Final answer
    x = 788.64

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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.