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Finding the Fourth Proportional to 970.84, 1,456.58 and 560.32

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Solution

The fourth proportional to 970.84, 1,456.58 and 560.32 is: 840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.84 : 1,456.58 = 560.32 : x
  2. Step 2: Convert to fraction form
    970.84/1,456.58 = 560.32/x
  3. Step 3: Cross multiply
    970.84x = 1,456.58 × 560.32
  4. Step 4: Simplify right side
    970.84x = 816,148.66
  5. Step 5: Solve for x
    x = 816,148.66/970.84
  6. Step 6: Final answer
    x = 840.67

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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.