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Finding the Fourth Proportional to 1,127.50, 1,555.50 and 707.68

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Solution

The fourth proportional to 1,127.50, 1,555.50 and 707.68 is: 976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.50 : 1,555.50 = 707.68 : x
  2. Step 2: Convert to fraction form
    1,127.50/1,555.50 = 707.68/x
  3. Step 3: Cross multiply
    1,127.50x = 1,555.50 × 707.68
  4. Step 4: Simplify right side
    1,127.50x = 1,100,796.24
  5. Step 5: Solve for x
    x = 1,100,796.24/1,127.50
  6. Step 6: Final answer
    x = 976.32

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1.5x scale

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.