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Finding the Fourth Proportional to 1,051.18, 1,573.14 and 655.72

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Solution

The fourth proportional to 1,051.18, 1,573.14 and 655.72 is: 981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.18 : 1,573.14 = 655.72 : x
  2. Step 2: Convert to fraction form
    1,051.18/1,573.14 = 655.72/x
  3. Step 3: Cross multiply
    1,051.18x = 1,573.14 × 655.72
  4. Step 4: Simplify right side
    1,051.18x = 1,031,539.36
  5. Step 5: Solve for x
    x = 1,031,539.36/1,051.18
  6. Step 6: Final answer
    x = 981.32

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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.