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Finding the Fourth Proportional to 970.02, 1,339.71 and 654.73

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Solution

The fourth proportional to 970.02, 1,339.71 and 654.73 is: 904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.02 : 1,339.71 = 654.73 : x
  2. Step 2: Convert to fraction form
    970.02/1,339.71 = 654.73/x
  3. Step 3: Cross multiply
    970.02x = 1,339.71 × 654.73
  4. Step 4: Simplify right side
    970.02x = 877,148.33
  5. Step 5: Solve for x
    x = 877,148.33/970.02
  6. Step 6: Final answer
    x = 904.26

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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.