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Finding the Fourth Proportional to 1,146.84, 1,581.88 and 753.16

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Solution

The fourth proportional to 1,146.84, 1,581.88 and 753.16 is: 1,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,581.88 = 753.16 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,581.88 = 753.16/x
  3. Step 3: Cross multiply
    1,146.84x = 1,581.88 × 753.16
  4. Step 4: Simplify right side
    1,146.84x = 1,191,408.74
  5. Step 5: Solve for x
    x = 1,191,408.74/1,146.84
  6. Step 6: Final answer
    x = 1,038.86

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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.