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Finding the Fourth Proportional to 1,205.02, 1,807.53 and 588.77

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Solution

The fourth proportional to 1,205.02, 1,807.53 and 588.77 is: 883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.02 : 1,807.53 = 588.77 : x
  2. Step 2: Convert to fraction form
    1,205.02/1,807.53 = 588.77/x
  3. Step 3: Cross multiply
    1,205.02x = 1,807.53 × 588.77
  4. Step 4: Simplify right side
    1,205.02x = 1,064,221.93
  5. Step 5: Solve for x
    x = 1,064,221.93/1,205.02
  6. Step 6: Final answer
    x = 883.16

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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.