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Finding the Fourth Proportional to 1,158.90, 1,598.51 and 716.24

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Solution

The fourth proportional to 1,158.90, 1,598.51 and 716.24 is: 987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.90 : 1,598.51 = 716.24 : x
  2. Step 2: Convert to fraction form
    1,158.90/1,598.51 = 716.24/x
  3. Step 3: Cross multiply
    1,158.90x = 1,598.51 × 716.24
  4. Step 4: Simplify right side
    1,158.90x = 1,144,905.23
  5. Step 5: Solve for x
    x = 1,144,905.23/1,158.90
  6. Step 6: Final answer
    x = 987.92

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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.