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Finding the Fourth Proportional to 970.13, 1,338.80 and 528

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Solution

The fourth proportional to 970.13, 1,338.80 and 528 is: 728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.13 : 1,338.80 = 528 : x
  2. Step 2: Convert to fraction form
    970.13/1,338.80 = 528/x
  3. Step 3: Cross multiply
    970.13x = 1,338.80 × 528
  4. Step 4: Simplify right side
    970.13x = 706,886.40
  5. Step 5: Solve for x
    x = 706,886.40/970.13
  6. Step 6: Final answer
    x = 728.65

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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.