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Finding the Fourth Proportional to 970.79, 1,455.17 and 508.07

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Solution

The fourth proportional to 970.79, 1,455.17 and 508.07 is: 761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.79 : 1,455.17 = 508.07 : x
  2. Step 2: Convert to fraction form
    970.79/1,455.17 = 508.07/x
  3. Step 3: Cross multiply
    970.79x = 1,455.17 × 508.07
  4. Step 4: Simplify right side
    970.79x = 739,329.32
  5. Step 5: Solve for x
    x = 739,329.32/970.79
  6. Step 6: Final answer
    x = 761.58

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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.