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Finding the Fourth Proportional to 1,006.93, 1,510.85 and 459.50

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Solution

The fourth proportional to 1,006.93, 1,510.85 and 459.50 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.93 : 1,510.85 = 459.50 : x
  2. Step 2: Convert to fraction form
    1,006.93/1,510.85 = 459.50/x
  3. Step 3: Cross multiply
    1,006.93x = 1,510.85 × 459.50
  4. Step 4: Simplify right side
    1,006.93x = 694,233.42
  5. Step 5: Solve for x
    x = 694,233.42/1,006.93
  6. Step 6: Final answer
    x = 689.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.