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Finding the Fourth Proportional to 1,059.88, 1,462.70 and 705.18

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Solution

The fourth proportional to 1,059.88, 1,462.70 and 705.18 is: 973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.88 : 1,462.70 = 705.18 : x
  2. Step 2: Convert to fraction form
    1,059.88/1,462.70 = 705.18/x
  3. Step 3: Cross multiply
    1,059.88x = 1,462.70 × 705.18
  4. Step 4: Simplify right side
    1,059.88x = 1,031,466.79
  5. Step 5: Solve for x
    x = 1,031,466.79/1,059.88
  6. Step 6: Final answer
    x = 973.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.