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Finding the Fourth Proportional to 1,059.08, 1,461.76 and 705.62

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Solution

The fourth proportional to 1,059.08, 1,461.76 and 705.62 is: 973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.08 : 1,461.76 = 705.62 : x
  2. Step 2: Convert to fraction form
    1,059.08/1,461.76 = 705.62/x
  3. Step 3: Cross multiply
    1,059.08x = 1,461.76 × 705.62
  4. Step 4: Simplify right side
    1,059.08x = 1,031,447.09
  5. Step 5: Solve for x
    x = 1,031,447.09/1,059.08
  6. Step 6: Final answer
    x = 973.91

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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.