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Finding the Fourth Proportional to 1,305.71, 1,957.09 and 525.53

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Solution

The fourth proportional to 1,305.71, 1,957.09 and 525.53 is: 787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.71 : 1,957.09 = 525.53 : x
  2. Step 2: Convert to fraction form
    1,305.71/1,957.09 = 525.53/x
  3. Step 3: Cross multiply
    1,305.71x = 1,957.09 × 525.53
  4. Step 4: Simplify right side
    1,305.71x = 1,028,509.51
  5. Step 5: Solve for x
    x = 1,028,509.51/1,305.71
  6. Step 6: Final answer
    x = 787.70

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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.