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Finding the Fourth Proportional to 1,302.51, 1,954.23 and 572.00

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Solution

The fourth proportional to 1,302.51, 1,954.23 and 572.00 is: 858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.51 : 1,954.23 = 572.00 : x
  2. Step 2: Convert to fraction form
    1,302.51/1,954.23 = 572.00/x
  3. Step 3: Cross multiply
    1,302.51x = 1,954.23 × 572.00
  4. Step 4: Simplify right side
    1,302.51x = 1,117,807.64
  5. Step 5: Solve for x
    x = 1,117,807.64/1,302.51
  6. Step 6: Final answer
    x = 858.19

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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.