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Finding the Fourth Proportional to 1,157.76, 1,598.16 and 692.16

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Solution

The fourth proportional to 1,157.76, 1,598.16 and 692.16 is: 955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.76 : 1,598.16 = 692.16 : x
  2. Step 2: Convert to fraction form
    1,157.76/1,598.16 = 692.16/x
  3. Step 3: Cross multiply
    1,157.76x = 1,598.16 × 692.16
  4. Step 4: Simplify right side
    1,157.76x = 1,106,182.43
  5. Step 5: Solve for x
    x = 1,106,182.43/1,157.76
  6. Step 6: Final answer
    x = 955.45

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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.