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Finding the Fourth Proportional to 1,085.40, 1,497.42 and 735.48

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Solution

The fourth proportional to 1,085.40, 1,497.42 and 735.48 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.40 : 1,497.42 = 735.48 : x
  2. Step 2: Convert to fraction form
    1,085.40/1,497.42 = 735.48/x
  3. Step 3: Cross multiply
    1,085.40x = 1,497.42 × 735.48
  4. Step 4: Simplify right side
    1,085.40x = 1,101,322.46
  5. Step 5: Solve for x
    x = 1,101,322.46/1,085.40
  6. Step 6: Final answer
    x = 1,014.67

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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.