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Finding the Fourth Proportional to 1,006.68, 1,510.10 and 390.12

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Solution

The fourth proportional to 1,006.68, 1,510.10 and 390.12 is: 585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.68 : 1,510.10 = 390.12 : x
  2. Step 2: Convert to fraction form
    1,006.68/1,510.10 = 390.12/x
  3. Step 3: Cross multiply
    1,006.68x = 1,510.10 × 390.12
  4. Step 4: Simplify right side
    1,006.68x = 589,118.26
  5. Step 5: Solve for x
    x = 589,118.26/1,006.68
  6. Step 6: Final answer
    x = 585.21

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Double scale
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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.