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Finding the Fourth Proportional to 870.23, 1,202.21 and 572.18

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Solution

The fourth proportional to 870.23, 1,202.21 and 572.18 is: 790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.23 : 1,202.21 = 572.18 : x
  2. Step 2: Convert to fraction form
    870.23/1,202.21 = 572.18/x
  3. Step 3: Cross multiply
    870.23x = 1,202.21 × 572.18
  4. Step 4: Simplify right side
    870.23x = 687,880.52
  5. Step 5: Solve for x
    x = 687,880.52/870.23
  6. Step 6: Final answer
    x = 790.46

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Double scale
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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.