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Finding the Fourth Proportional to 1,265.34, 1,746.15 and 705.80

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Solution

The fourth proportional to 1,265.34, 1,746.15 and 705.80 is: 973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.34 : 1,746.15 = 705.80 : x
  2. Step 2: Convert to fraction form
    1,265.34/1,746.15 = 705.80/x
  3. Step 3: Cross multiply
    1,265.34x = 1,746.15 × 705.80
  4. Step 4: Simplify right side
    1,265.34x = 1,232,423.94
  5. Step 5: Solve for x
    x = 1,232,423.94/1,265.34
  6. Step 6: Final answer
    x = 973.99

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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.