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Finding the Fourth Proportional to 1,164.34, 1,606.53 and 692.20

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Solution

The fourth proportional to 1,164.34, 1,606.53 and 692.20 is: 955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.34 : 1,606.53 = 692.20 : x
  2. Step 2: Convert to fraction form
    1,164.34/1,606.53 = 692.20/x
  3. Step 3: Cross multiply
    1,164.34x = 1,606.53 × 692.20
  4. Step 4: Simplify right side
    1,164.34x = 1,112,040.07
  5. Step 5: Solve for x
    x = 1,112,040.07/1,164.34
  6. Step 6: Final answer
    x = 955.08

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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.